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List of price index formulas

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1087:). It was inadequate for that purpose. In particular, if the price of any of the constituents were to fall to zero, the whole index would fall to zero. That is an extreme case; in general the formula will understate the total cost of a basket of goods (or of any subset of that basket) unless their prices all change at the same rate. Also, as the index is unweighted, large price changes in selected constituents can transmit to the index to an extent not representing their importance in the average portfolio. 1374:(1925), is a weighted relative of current period to base period sets of prices. This index uses the arithmetic average of the current and based period quantities for weighting. It is considered a pseudo-superlative formula and is symmetric. The use of the Marshall-Edgeworth index can be problematic in cases such as a comparison of the price level of a large country to a small one. In such instances, the set of quantities of the large country will overwhelm those of the small one. 701:
In such a case, they are not indices but merely an intermediate stage in the calculation of an index. At these lower levels, it is argued that weighting is not necessary since only one type of good is being aggregated. However this implicitly assumes that only one type of the good is available (e.g. only one brand and one package size of frozen peas) and that it has not changed in quality etc between time periods.
700:
Unweighted, or "elementary", price indices only compare prices of a single type of good between two periods. They do not make any use of quantities or expenditure weights. They are called "elementary" because they are often used at the lower levels of aggregation for more comprehensive price indices.
1693:
and other theoretical indices used to provide guidelines for constructing price indices. All superlative indices produce similar results and are generally the favored formulas for calculating price indices. A superlative index is defined technically as "an index that is exact for a flexible
687: 2225: 963: 467: 309: 2069: 1679: 1178: 1351: 1787:
The Törnqvist or Törnqvist-Theil index is the geometric average of the n price relatives of the current to base period prices (for n goods) weighted by the arithmetic average of the value shares for the two periods.
513: 2086: 2079:
The Walsh price index is the weighted sum of the current period prices divided by the weighted sum of the base period prices with the geometric average of both period quantities serving as the weighting mechanism:
1072: 796: 1188:
Is the geometric mean of the Carli and the harmonic price indexes. In 1922 Fisher wrote that this and the Jevons were the two best unweighted indexes based on Fisher's test approach to index number theory.
841: 1259: 2406: 1768: 989:. When used as an elementary aggregate, the Jevons index is considered a constant elasticity of substitution index since it allows for product substitution between time periods. 362: 204: 176: 1794: 497: 342: 130: 103: 76: 49: 178:). These tell the relative change of the price in question. Two of the most commonly used price index formulae were defined by German economists and statisticians 20:. While price index formulae all use price and possibly quantity data, they aggregate these in different ways. A price index aggregates various combinations of 1380: 1101: 1275: 2403: 132:). Price index numbers are usually defined either in terms of (actual or hypothetical) expenditures (expenditure = price * quantity) or as different 824: 682:{\displaystyle P_{GM}=\prod _{i=1}^{n}\left({\frac {p_{i,t}}{p_{i,0}}}\right)^{\frac {p_{i,0}\cdot q_{i,0}}{\sum \left(p_{0}\cdot q_{0}\right)}}} 2220:{\displaystyle P_{W}={\frac {\sum \left(p_{t}\cdot {\sqrt {q_{0}\cdot q_{t}}}\right)}{\sum \left(p_{0}\cdot {\sqrt {q_{0}\cdot q_{t}}}\right)}}} 1710:
of the changes in Laspeyres' and Paasche's indices between those periods, and these are chained together to make comparisons over many periods:
995: 731: 1689:
Superlative indices treat prices and quantities equally across periods. They are symmetrical and provide close approximations of
958:{\displaystyle P_{D}={\frac {{\frac {1}{n}}\cdot \sum p_{t}}{{\frac {1}{n}}\cdot \sum p_{0}}}={\frac {\sum p_{t}}{\sum p_{0}}}} 815:, has a built-in bias towards recording inflation even when over successive periods there is no increase in prices overall. 1195: 1095:
The harmonic average counterpart to the Carli index. The index was proposed by Jevons in 1865 and by Coggeshall in 1887.
2460: 1716: 2279: 1269:
The ratio of harmonic means or "Harmonic means" price index is the harmonic average counterpart to the Dutot index.
806: 462:{\displaystyle P_{P}={\frac {\sum \left(p_{t}\cdot q_{t}\right)}{\sum \left(p_{0}\cdot q_{t}\right)}}} 304:{\displaystyle P_{L}={\frac {\sum \left(p_{t}\cdot q_{0}\right)}{\sum \left(p_{0}\cdot q_{0}\right)}}} 2064:{\displaystyle P_{T}=\prod _{i=1}^{n}\left({\frac {p_{i,t}}{p_{i,0}}}\right)^{{\frac {1}{2}}\left}} 1371: 2455: 139: 16:
A number of different formulae, more than a hundred, have been proposed as means of calculating
2450: 1695: 974: 1690: 475: 320: 108: 81: 54: 27: 2426: 195: 179: 8: 1674:{\displaystyle P_{ME}={\frac {\sum \left}{\sum \left}}={\frac {\sum \left}{\sum \left}}} 812: 710: 692:
incorporates quantity information through the share of expenditure in the base period.
2433: 1782: 978: 21: 1173:{\displaystyle P_{HR}={\frac {1}{{\frac {1}{n}}\cdot \sum {\frac {p_{0}}{p_{t}}}}}} 133: 2244: 2410: 1367: 1346:{\displaystyle P_{RH}={\frac {\sum {\frac {n}{p_{0}}}}{\sum {\frac {n}{p_{t}}}}}} 1079: 714: 353: 183: 1707: 1084: 2444: 2266: 827:
proposed using an index calculated by dividing the average price in period
802: 17: 315: 1067:{\displaystyle P_{J}=\left(\prod {\frac {p_{t}}{p_{0}}}\right)^{1/n}} 791:{\displaystyle P_{C}={\frac {1}{n}}\cdot \sum {\frac {p_{t}}{p_{0}}}} 1706:
The change in a Fisher index from one period to the next is the
1698:
to other twice-differentiable functions around the same point."
186:, both around 1875 when investigating price changes in Germany. 1183: 811:
noted that the Carli index, used in part in the British
2089: 1797: 1719: 1383: 1278: 1198: 1104: 998: 844: 734: 516: 478: 365: 323: 207: 142: 111: 84: 57: 30: 2404:"Tornqvist Index and other Log-change Index Numbers" 1254:{\displaystyle P_{CSWD}={\sqrt {P_{C}\cdot P_{HR}}}} 1090: 2413:, Statistics New Zealand Glossary of Common Terms. 2219: 2063: 1773:This is also called Fisher's "ideal" price index. 1762: 1673: 1345: 1253: 1172: 1066: 957: 790: 681: 491: 461: 336: 303: 170: 124: 97: 70: 43: 2309: 2307: 472:compares the total cost of a new basket of goods 2442: 1763:{\displaystyle P_{F}={\sqrt {P_{L}\cdot P_{P}}}} 2304: 1077:This is the formula that was used for the old 314:compares the total cost of the same basket of 2385:Export and Import manual, Chapter 18, p. 23. 713:, an Italian economist, this formula is the 1083:stock market index (the predecessor of the 2340:Export and Import manual, Chapter 20, p. 8 1366:The Marshall-Edgeworth index, credited to 1264: 2322:Export and Import manual, Chapter 20 p. 8 2267:https://www.bbc.co.uk/programmes/p02rzwrl 2245:"Q&A about the Consumer Price Index" 1184:Carruthers, Sellwood, Ward, Dalén index 717:of the price relative between a period 2443: 1684: 2280:"The Life and Times of Nicolas Dutot" 1361: 1356: 695: 2428:Export and Import Price Index Manual 1694:functional form that can provide a 13: 502: 14: 2472: 2376:ILO CPI manual, Chapter 1, p. 2. 1091:Harmonic mean of price relatives 981:of the price relative of period 105:), and later period quantities ( 2397: 2388: 2379: 2370: 2361: 2352: 2349:PPI manual, Chapter 15, p. 378. 2343: 2334: 831:by the average price in period 2367:PPI manual, Chapter 15, p. 378 2325: 2316: 2295: 2286: 2272: 2260: 2251: 2237: 1531: 1505: 1: 2420: 1776: 189: 7: 2269:, starting at 17:58 minutes 973:In 1863, English economist 507:The geometric means index: 499:at the old and new prices. 344:at the old and new prices. 171:{\displaystyle p_{t}/p_{0}} 78:), base period quantities ( 10: 2477: 1780: 1696:second-order approximation 347: 2461:Mathematics-related lists 1701: 968: 823:In 1738 French economist 2409:24 December 2013 at the 2230: 2074: 818: 704: 51:), later period prices ( 1265:Ratio of harmonic means 2221: 2065: 1831: 1764: 1691:cost of living indices 1675: 1347: 1255: 1174: 1068: 975:William Stanley Jevons 959: 801:On 17 August 2012 the 792: 683: 553: 493: 463: 338: 305: 172: 126: 99: 72: 45: 2222: 2066: 1811: 1781:Further information: 1765: 1676: 1348: 1256: 1175: 1069: 960: 793: 709:Developed in 1764 by 684: 533: 494: 492:{\displaystyle q_{t}} 464: 352:Developed in 1874 by 339: 337:{\displaystyle q_{0}} 306: 194:Developed in 1871 by 173: 127: 125:{\displaystyle q_{t}} 100: 98:{\displaystyle q_{0}} 73: 71:{\displaystyle p_{t}} 46: 44:{\displaystyle p_{0}} 2087: 1795: 1717: 1381: 1276: 1196: 1102: 996: 977:proposed taking the 842: 732: 514: 476: 363: 321: 205: 140: 136:of price relatives ( 109: 82: 55: 28: 1685:Superlative indices 2394:PPI manual, p. 610 2217: 2061: 1760: 1671: 1362:Marshall-Edgeworth 1357:Bilateral formulae 1343: 1251: 1170: 1064: 955: 813:retail price index 788: 721:and a base period 711:Gian Rinaldo Carli 696:Unweighted indices 679: 489: 459: 334: 301: 168: 122: 95: 68: 41: 22:base period prices 2215: 2207: 2152: 2052: 1970: 1886: 1871: 1758: 1669: 1540: 1503: 1432: 1341: 1338: 1316: 1249: 1168: 1165: 1135: 1043: 979:geometric average 953: 916: 897: 869: 786: 756: 676: 593: 457: 299: 196:Étienne Laspeyres 180:Étienne Laspeyres 134:weighted averages 2468: 2414: 2401: 2395: 2392: 2386: 2383: 2377: 2374: 2368: 2365: 2359: 2358:PPI manual, 620. 2356: 2350: 2347: 2341: 2338: 2332: 2331:PPI manual, 597. 2329: 2323: 2320: 2314: 2313:PPI manual, 600. 2311: 2302: 2301:PPI manual, 596. 2299: 2293: 2292:PPI manual, 602. 2290: 2284: 2283: 2276: 2270: 2264: 2258: 2257:PPI manual, 598. 2255: 2249: 2248: 2241: 2226: 2224: 2223: 2218: 2216: 2214: 2213: 2209: 2208: 2206: 2205: 2193: 2192: 2183: 2178: 2177: 2159: 2158: 2154: 2153: 2151: 2150: 2138: 2137: 2128: 2123: 2122: 2104: 2099: 2098: 2070: 2068: 2067: 2062: 2060: 2059: 2058: 2054: 2053: 2051: 2050: 2046: 2045: 2044: 2032: 2031: 2013: 2012: 2011: 1993: 1992: 1976: 1971: 1969: 1968: 1964: 1963: 1962: 1950: 1949: 1931: 1930: 1929: 1911: 1910: 1894: 1887: 1879: 1876: 1872: 1870: 1869: 1854: 1853: 1838: 1830: 1825: 1807: 1806: 1769: 1767: 1766: 1761: 1759: 1757: 1756: 1744: 1743: 1734: 1729: 1728: 1680: 1678: 1677: 1672: 1670: 1668: 1667: 1663: 1662: 1658: 1657: 1656: 1644: 1643: 1626: 1625: 1607: 1606: 1602: 1601: 1597: 1596: 1595: 1583: 1582: 1565: 1564: 1546: 1541: 1539: 1538: 1534: 1530: 1529: 1517: 1516: 1504: 1496: 1491: 1490: 1472: 1471: 1467: 1466: 1462: 1461: 1460: 1448: 1447: 1433: 1425: 1420: 1419: 1401: 1396: 1395: 1352: 1350: 1349: 1344: 1342: 1340: 1339: 1337: 1336: 1324: 1318: 1317: 1315: 1314: 1302: 1296: 1291: 1290: 1260: 1258: 1257: 1252: 1250: 1248: 1247: 1232: 1231: 1222: 1217: 1216: 1179: 1177: 1176: 1171: 1169: 1167: 1166: 1164: 1163: 1154: 1153: 1144: 1136: 1128: 1122: 1117: 1116: 1073: 1071: 1070: 1065: 1063: 1062: 1058: 1049: 1045: 1044: 1042: 1041: 1032: 1031: 1022: 1008: 1007: 985:and base period 964: 962: 961: 956: 954: 952: 951: 950: 937: 936: 935: 922: 917: 915: 914: 913: 898: 890: 887: 886: 885: 870: 862: 859: 854: 853: 797: 795: 794: 789: 787: 785: 784: 775: 774: 765: 757: 749: 744: 743: 688: 686: 685: 680: 678: 677: 675: 674: 670: 669: 668: 656: 655: 637: 636: 635: 617: 616: 600: 598: 594: 592: 591: 576: 575: 560: 552: 547: 529: 528: 498: 496: 495: 490: 488: 487: 468: 466: 465: 460: 458: 456: 455: 451: 450: 449: 437: 436: 418: 417: 413: 412: 411: 399: 398: 380: 375: 374: 343: 341: 340: 335: 333: 332: 310: 308: 307: 302: 300: 298: 297: 293: 292: 291: 279: 278: 260: 259: 255: 254: 253: 241: 240: 222: 217: 216: 177: 175: 174: 169: 167: 166: 157: 152: 151: 131: 129: 128: 123: 121: 120: 104: 102: 101: 96: 94: 93: 77: 75: 74: 69: 67: 66: 50: 48: 47: 42: 40: 39: 2476: 2475: 2471: 2470: 2469: 2467: 2466: 2465: 2441: 2440: 2423: 2418: 2417: 2411:Wayback Machine 2402: 2398: 2393: 2389: 2384: 2380: 2375: 2371: 2366: 2362: 2357: 2353: 2348: 2344: 2339: 2335: 2330: 2326: 2321: 2317: 2312: 2305: 2300: 2296: 2291: 2287: 2278: 2277: 2273: 2265: 2261: 2256: 2252: 2243: 2242: 2238: 2233: 2201: 2197: 2188: 2184: 2182: 2173: 2169: 2168: 2164: 2160: 2146: 2142: 2133: 2129: 2127: 2118: 2114: 2113: 2109: 2105: 2103: 2094: 2090: 2088: 2085: 2084: 2077: 2040: 2036: 2027: 2023: 2022: 2018: 2014: 2001: 1997: 1982: 1978: 1977: 1975: 1958: 1954: 1945: 1941: 1940: 1936: 1932: 1919: 1915: 1900: 1896: 1895: 1893: 1892: 1888: 1878: 1877: 1859: 1855: 1843: 1839: 1837: 1833: 1832: 1826: 1815: 1802: 1798: 1796: 1793: 1792: 1785: 1783:Törnqvist index 1779: 1752: 1748: 1739: 1735: 1733: 1724: 1720: 1718: 1715: 1714: 1704: 1687: 1652: 1648: 1639: 1635: 1634: 1630: 1621: 1617: 1616: 1612: 1608: 1591: 1587: 1578: 1574: 1573: 1569: 1560: 1556: 1555: 1551: 1547: 1545: 1525: 1521: 1512: 1508: 1495: 1486: 1482: 1481: 1477: 1473: 1456: 1452: 1443: 1439: 1438: 1434: 1424: 1415: 1411: 1410: 1406: 1402: 1400: 1388: 1384: 1382: 1379: 1378: 1364: 1359: 1332: 1328: 1323: 1319: 1310: 1306: 1301: 1297: 1295: 1283: 1279: 1277: 1274: 1273: 1267: 1240: 1236: 1227: 1223: 1221: 1203: 1199: 1197: 1194: 1193: 1186: 1159: 1155: 1149: 1145: 1143: 1127: 1126: 1121: 1109: 1105: 1103: 1100: 1099: 1093: 1080:Financial Times 1054: 1050: 1037: 1033: 1027: 1023: 1021: 1017: 1013: 1012: 1003: 999: 997: 994: 993: 971: 946: 942: 938: 931: 927: 923: 921: 909: 905: 889: 888: 881: 877: 861: 860: 858: 849: 845: 843: 840: 839: 821: 780: 776: 770: 766: 764: 748: 739: 735: 733: 730: 729: 715:arithmetic mean 707: 698: 664: 660: 651: 647: 646: 642: 638: 625: 621: 606: 602: 601: 599: 581: 577: 565: 561: 559: 555: 554: 548: 537: 521: 517: 515: 512: 511: 505: 503:Geometric means 483: 479: 477: 474: 473: 445: 441: 432: 428: 427: 423: 419: 407: 403: 394: 390: 389: 385: 381: 379: 370: 366: 364: 361: 360: 356:, the formula: 354:Hermann Paasche 350: 328: 324: 322: 319: 318: 287: 283: 274: 270: 269: 265: 261: 249: 245: 236: 232: 231: 227: 223: 221: 212: 208: 206: 203: 202: 198:, the formula: 192: 184:Hermann Paasche 162: 158: 153: 147: 143: 141: 138: 137: 116: 112: 110: 107: 106: 89: 85: 83: 80: 79: 62: 58: 56: 53: 52: 35: 31: 29: 26: 25: 12: 11: 5: 2474: 2464: 2463: 2458: 2456:Monetary lists 2453: 2439: 2438: 2431: 2422: 2419: 2416: 2415: 2396: 2387: 2378: 2369: 2360: 2351: 2342: 2333: 2324: 2315: 2303: 2294: 2285: 2271: 2259: 2250: 2235: 2234: 2232: 2229: 2228: 2227: 2212: 2204: 2200: 2196: 2191: 2187: 2181: 2176: 2172: 2167: 2163: 2157: 2149: 2145: 2141: 2136: 2132: 2126: 2121: 2117: 2112: 2108: 2102: 2097: 2093: 2076: 2073: 2072: 2071: 2057: 2049: 2043: 2039: 2035: 2030: 2026: 2021: 2017: 2010: 2007: 2004: 2000: 1996: 1991: 1988: 1985: 1981: 1974: 1967: 1961: 1957: 1953: 1948: 1944: 1939: 1935: 1928: 1925: 1922: 1918: 1914: 1909: 1906: 1903: 1899: 1891: 1885: 1882: 1875: 1868: 1865: 1862: 1858: 1852: 1849: 1846: 1842: 1836: 1829: 1824: 1821: 1818: 1814: 1810: 1805: 1801: 1778: 1775: 1771: 1770: 1755: 1751: 1747: 1742: 1738: 1732: 1727: 1723: 1708:geometric mean 1703: 1700: 1686: 1683: 1682: 1681: 1666: 1661: 1655: 1651: 1647: 1642: 1638: 1633: 1629: 1624: 1620: 1615: 1611: 1605: 1600: 1594: 1590: 1586: 1581: 1577: 1572: 1568: 1563: 1559: 1554: 1550: 1544: 1537: 1533: 1528: 1524: 1520: 1515: 1511: 1507: 1502: 1499: 1494: 1489: 1485: 1480: 1476: 1470: 1465: 1459: 1455: 1451: 1446: 1442: 1437: 1431: 1428: 1423: 1418: 1414: 1409: 1405: 1399: 1394: 1391: 1387: 1363: 1360: 1358: 1355: 1354: 1353: 1335: 1331: 1327: 1322: 1313: 1309: 1305: 1300: 1294: 1289: 1286: 1282: 1266: 1263: 1262: 1261: 1246: 1243: 1239: 1235: 1230: 1226: 1220: 1215: 1212: 1209: 1206: 1202: 1185: 1182: 1181: 1180: 1162: 1158: 1152: 1148: 1142: 1139: 1134: 1131: 1125: 1120: 1115: 1112: 1108: 1092: 1089: 1085:FTSE 100 Index 1075: 1074: 1061: 1057: 1053: 1048: 1040: 1036: 1030: 1026: 1020: 1016: 1011: 1006: 1002: 970: 967: 966: 965: 949: 945: 941: 934: 930: 926: 920: 912: 908: 904: 901: 896: 893: 884: 880: 876: 873: 868: 865: 857: 852: 848: 820: 817: 799: 798: 783: 779: 773: 769: 763: 760: 755: 752: 747: 742: 738: 706: 703: 697: 694: 690: 689: 673: 667: 663: 659: 654: 650: 645: 641: 634: 631: 628: 624: 620: 615: 612: 609: 605: 597: 590: 587: 584: 580: 574: 571: 568: 564: 558: 551: 546: 543: 540: 536: 532: 527: 524: 520: 504: 501: 486: 482: 470: 469: 454: 448: 444: 440: 435: 431: 426: 422: 416: 410: 406: 402: 397: 393: 388: 384: 378: 373: 369: 349: 346: 331: 327: 312: 311: 296: 290: 286: 282: 277: 273: 268: 264: 258: 252: 248: 244: 239: 235: 230: 226: 220: 215: 211: 191: 188: 165: 161: 156: 150: 146: 119: 115: 92: 88: 65: 61: 38: 34: 9: 6: 4: 3: 2: 2473: 2462: 2459: 2457: 2454: 2452: 2451:Price indices 2449: 2448: 2446: 2437: 2436: 2432: 2430: 2429: 2425: 2424: 2412: 2408: 2405: 2400: 2391: 2382: 2373: 2364: 2355: 2346: 2337: 2328: 2319: 2310: 2308: 2298: 2289: 2281: 2275: 2268: 2263: 2254: 2246: 2240: 2236: 2210: 2202: 2198: 2194: 2189: 2185: 2179: 2174: 2170: 2165: 2161: 2155: 2147: 2143: 2139: 2134: 2130: 2124: 2119: 2115: 2110: 2106: 2100: 2095: 2091: 2083: 2082: 2081: 2055: 2047: 2041: 2037: 2033: 2028: 2024: 2019: 2015: 2008: 2005: 2002: 1998: 1994: 1989: 1986: 1983: 1979: 1972: 1965: 1959: 1955: 1951: 1946: 1942: 1937: 1933: 1926: 1923: 1920: 1916: 1912: 1907: 1904: 1901: 1897: 1889: 1883: 1880: 1873: 1866: 1863: 1860: 1856: 1850: 1847: 1844: 1840: 1834: 1827: 1822: 1819: 1816: 1812: 1808: 1803: 1799: 1791: 1790: 1789: 1784: 1774: 1753: 1749: 1745: 1740: 1736: 1730: 1725: 1721: 1713: 1712: 1711: 1709: 1699: 1697: 1692: 1664: 1659: 1653: 1649: 1645: 1640: 1636: 1631: 1627: 1622: 1618: 1613: 1609: 1603: 1598: 1592: 1588: 1584: 1579: 1575: 1570: 1566: 1561: 1557: 1552: 1548: 1542: 1535: 1526: 1522: 1518: 1513: 1509: 1500: 1497: 1492: 1487: 1483: 1478: 1474: 1468: 1463: 1457: 1453: 1449: 1444: 1440: 1435: 1429: 1426: 1421: 1416: 1412: 1407: 1403: 1397: 1392: 1389: 1385: 1377: 1376: 1375: 1373: 1369: 1333: 1329: 1325: 1320: 1311: 1307: 1303: 1298: 1292: 1287: 1284: 1280: 1272: 1271: 1270: 1244: 1241: 1237: 1233: 1228: 1224: 1218: 1213: 1210: 1207: 1204: 1200: 1192: 1191: 1190: 1160: 1156: 1150: 1146: 1140: 1137: 1132: 1129: 1123: 1118: 1113: 1110: 1106: 1098: 1097: 1096: 1088: 1086: 1082: 1081: 1059: 1055: 1051: 1046: 1038: 1034: 1028: 1024: 1018: 1014: 1009: 1004: 1000: 992: 991: 990: 988: 984: 980: 976: 947: 943: 939: 932: 928: 924: 918: 910: 906: 902: 899: 894: 891: 882: 878: 874: 871: 866: 863: 855: 850: 846: 838: 837: 836: 834: 830: 826: 825:Nicolas Dutot 816: 814: 810: 809: 804: 781: 777: 771: 767: 761: 758: 753: 750: 745: 740: 736: 728: 727: 726: 724: 720: 716: 712: 702: 693: 671: 665: 661: 657: 652: 648: 643: 639: 632: 629: 626: 622: 618: 613: 610: 607: 603: 595: 588: 585: 582: 578: 572: 569: 566: 562: 556: 549: 544: 541: 538: 534: 530: 525: 522: 518: 510: 509: 508: 500: 484: 480: 452: 446: 442: 438: 433: 429: 424: 420: 414: 408: 404: 400: 395: 391: 386: 382: 376: 371: 367: 359: 358: 357: 355: 345: 329: 325: 317: 294: 288: 284: 280: 275: 271: 266: 262: 256: 250: 246: 242: 237: 233: 228: 224: 218: 213: 209: 201: 200: 199: 197: 187: 185: 181: 163: 159: 154: 148: 144: 135: 117: 113: 90: 86: 63: 59: 36: 32: 23: 19: 18:price indexes 2434: 2427: 2399: 2390: 2381: 2372: 2363: 2354: 2345: 2336: 2327: 2318: 2297: 2288: 2274: 2262: 2253: 2239: 2078: 1786: 1772: 1705: 1688: 1365: 1268: 1187: 1094: 1078: 1076: 986: 982: 972: 832: 828: 822: 808:More or Less 807: 800: 722: 718: 708: 699: 691: 506: 471: 351: 313: 193: 15: 1370:(1887) and 803:BBC Radio 4 316:final goods 2445:Categories 2435:PPI Manual 2421:References 2195:⋅ 2180:⋅ 2162:∑ 2140:⋅ 2125:⋅ 2107:∑ 2034:⋅ 2016:∑ 1995:⋅ 1952:⋅ 1934:∑ 1913:⋅ 1813:∏ 1777:Törnqvist 1746:⋅ 1628:⋅ 1610:∑ 1567:⋅ 1549:∑ 1493:⋅ 1475:∑ 1422:⋅ 1404:∑ 1372:Edgeworth 1321:∑ 1299:∑ 1234:⋅ 1141:∑ 1138:⋅ 1019:∏ 940:∑ 925:∑ 903:∑ 900:⋅ 875:∑ 872:⋅ 762:∑ 759:⋅ 658:⋅ 640:∑ 619:⋅ 535:∏ 439:⋅ 421:∑ 401:⋅ 383:∑ 281:⋅ 263:∑ 243:⋅ 225:∑ 190:Laspeyres 2407:Archived 1368:Marshall 805:program 348:Paasche 1702:Fisher 969:Jevons 2231:Notes 2075:Walsh 819:Dutot 705:Carli 182:and 2447:: 2306:^ 835:. 725:. 2282:. 2247:. 2211:) 2203:t 2199:q 2190:0 2186:q 2175:0 2171:p 2166:( 2156:) 2148:t 2144:q 2135:0 2131:q 2120:t 2116:p 2111:( 2101:= 2096:W 2092:P 2056:] 2048:) 2042:t 2038:q 2029:t 2025:p 2020:( 2009:t 2006:, 2003:i 1999:q 1990:t 1987:, 1984:i 1980:p 1973:+ 1966:) 1960:0 1956:q 1947:0 1943:p 1938:( 1927:0 1924:, 1921:i 1917:q 1908:0 1905:, 1902:i 1898:p 1890:[ 1884:2 1881:1 1874:) 1867:0 1864:, 1861:i 1857:p 1851:t 1848:, 1845:i 1841:p 1835:( 1828:n 1823:1 1820:= 1817:i 1809:= 1804:T 1800:P 1754:P 1750:P 1741:L 1737:P 1731:= 1726:F 1722:P 1665:] 1660:) 1654:t 1650:q 1646:+ 1641:0 1637:q 1632:( 1623:0 1619:p 1614:[ 1604:] 1599:) 1593:t 1589:q 1585:+ 1580:0 1576:q 1571:( 1562:t 1558:p 1553:[ 1543:= 1536:] 1532:) 1527:t 1523:q 1519:+ 1514:0 1510:q 1506:( 1501:2 1498:1 1488:0 1484:p 1479:[ 1469:] 1464:) 1458:t 1454:q 1450:+ 1445:0 1441:q 1436:( 1430:2 1427:1 1417:t 1413:p 1408:[ 1398:= 1393:E 1390:M 1386:P 1334:t 1330:p 1326:n 1312:0 1308:p 1304:n 1293:= 1288:H 1285:R 1281:P 1245:R 1242:H 1238:P 1229:C 1225:P 1219:= 1214:D 1211:W 1208:S 1205:C 1201:P 1161:t 1157:p 1151:0 1147:p 1133:n 1130:1 1124:1 1119:= 1114:R 1111:H 1107:P 1060:n 1056:/ 1052:1 1047:) 1039:0 1035:p 1029:t 1025:p 1015:( 1010:= 1005:J 1001:P 987:0 983:t 948:0 944:p 933:t 929:p 919:= 911:0 907:p 895:n 892:1 883:t 879:p 867:n 864:1 856:= 851:D 847:P 833:0 829:t 782:0 778:p 772:t 768:p 754:n 751:1 746:= 741:C 737:P 723:0 719:t 672:) 666:0 662:q 653:0 649:p 644:( 633:0 630:, 627:i 623:q 614:0 611:, 608:i 604:p 596:) 589:0 586:, 583:i 579:p 573:t 570:, 567:i 563:p 557:( 550:n 545:1 542:= 539:i 531:= 526:M 523:G 519:P 485:t 481:q 453:) 447:t 443:q 434:0 430:p 425:( 415:) 409:t 405:q 396:t 392:p 387:( 377:= 372:P 368:P 330:0 326:q 295:) 289:0 285:q 276:0 272:p 267:( 257:) 251:0 247:q 238:t 234:p 229:( 219:= 214:L 210:P 164:0 160:p 155:/ 149:t 145:p 118:t 114:q 91:0 87:q 64:t 60:p 37:0 33:p 24:(

Index

price indexes
base period prices
weighted averages
Étienne Laspeyres
Hermann Paasche
Étienne Laspeyres
final goods
Hermann Paasche
Gian Rinaldo Carli
arithmetic mean
BBC Radio 4
More or Less
retail price index
Nicolas Dutot
William Stanley Jevons
geometric average
Financial Times
FTSE 100 Index
Marshall
Edgeworth
cost of living indices
second-order approximation
geometric mean
Törnqvist index
"Q&A about the Consumer Price Index"
https://www.bbc.co.uk/programmes/p02rzwrl
"The Life and Times of Nicolas Dutot"


"Tornqvist Index and other Log-change Index Numbers"

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