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Essays In Index Number Theory Mathematics

AldrichJ. 1992. “Probability and Depreciation: A History of the Stochastic Approach to Index Numbers.” History of Political Economy24: 657–687.

AllenR.G.D. 1949. “The Economic Theory of Index Numbers.” Economica16: 197–203.

AltermanW.F., DiewertW.E., and FeenstraR.C.. 1999. International Trade Price Indexes and Seasonal Commodities. Bureau of Labor Statistics, Washington, DC.

BalkB.M. 1985. “A Simple Characterization of Fisher’s Price Index.” Statistische Hefte26: 59–63.

BalkB.M. 1995. “Axiomatic Price Index Theory: A Survey.” International Statistical Review63: 69–93.

BalkB.M. 2005. “Divisia Price and Quantity Indices: 80 Years After.” Statistica Neerlandica59: 119–158.

BalkB.M. 2008. Price and Quantity Index Numbers. New York: Cambridge University Press.

BarberW.J. 1997. “Fisher: Career Highlights and Formative Influences, 1867–1947.” In BarberW. J., assisted by DimandR.W. and FosterK., eds., The Works of Irving Fisher. Volume 1: The Early Professional Works. London: Pickering & Chatto, pp. 3–21.

BowleyA.L. 1899. “Wages, Nominal and Real.” In Dictionary of Political Economy. Volume 3. London: MacMillan, pp. 640–651.

BowleyA.L. 1901. Elements of Statistics. Westminster: P.S. King and Son.

CarliGian-Rinaldo. [1746] 1804. “Del valore e della proporzione de’ metalli monetati.” In Scrittori classici italiani di economia politica, Volume 13. Milano: G.G. Destefanis, pp. 297–366.

ChristensenL.R., JorgensonD.W., and LauL.J.. 1975. “Transcendental Logarithmic Utility Functions.” American Economic Review65: 367–383.

ClementsK.W., IzanH.Y., and SelvanathanE.A.. 2006. “Stochastic Index Numbers: A Review.” International Statistical Review74: 235–270.

CobbC., and DouglasP.H.1928. “A Theory of Production.” American Economic Review18: 139–165.

DaviesG.R. 1924. “The Problem of a Standard Index Number Formula.” Journal of the American Statistical Association19: 180–188.

DiewertW.E. 1974. “Applications of Duality Theory.” In IntriligatorM.D. and KendrickD.A., eds., Frontiers of Quantitative Economics. Volume II. Amsterdam: North-Holland, pp. 106–171.

DiewertW.E. 1976. “Exact and Superlative Index Numbers.” Journal of Econometrics4: 114–145.

DiewertW.E. 1978. “Superlative Index Numbers and Consistency in Aggregation.” Econometrica46: 883–900.

DiewertW.E. 1980. “Aggregation Problems in the Measurement of Capital.” In UsherDan, ed., The Measurement of Capital. , Chicago: University of Chicago Press, pp. 433–528 .

DiewertW.E. 1992. “Fisher Ideal Output, Input and Productivity Indexes Revisited.” Journal of Productivity Analysis3: 211–248.

DiewertW.E. 1993a. “The Early History of Price Index Research.” In DiewertW. E. and NakamuraA.O., eds., Essays in Index Number Theory. Volume 1. Amsterdam: North-Holland, pp. 33–65.

DiewertW.E. 1993b. “Symmetric Means and Choice under Uncertainty.” In DiewertW. E. and NakamuraA.O., eds., Essays in Index Number Theory. Volume 1. Amsterdam: North-Holland, pp. 355–433.

DiewertW.E. 1995. “.

DiewertW.E. 1997. “Commentary on Mathew D. Shapiro and David W. Wilcox: Alternative Strategies for Aggregating Prices in the CPI.” The Federal Reserve Bank of St. Louis Review79 (3): 127–137.

DiewertW.E. 1999. “Axiomatic and Economic Approaches to International Comparisons.” In HestonA. and LipseyR.E., eds., International and Interarea Comparisons of Income, Output and Prices. . Volume 61. Chicago: The University of Chicago Press, pp. 13–87.

DiewertW.E. 2001. “The Consumer Price Index and Index Number Purpose.” Journal of Economic and Social Measurement27: 167–248.

DiewertW.E. 2002. “The Quadratic Approximation Lemma and Decompositions of Superlative Indexes.” Journal of Economic and Social Measurement28: 63–88.

DiewertW.E. 2009a. “Cost of Living Indexes and Exact Index Numbers.” In SlottjeD., ed., Quantifying Consumer Preferences. . United Kingdom: Emerald Group Publishing, pp. 207–246.

DiewertW.E. 2009b. “Similarity Indexes and Criteria for Spatial Linking.” In Prasada RaoD.S., ed., Purchasing Power Parities of Currencies: Recent Advances in Methods and Applications. Cheltenham, UK: Edward Elgar, pp. 183–216.

DiewertW.E. 2011. “The Axiomatic Approach to Bilateral Index Number Theory.” Chapter 3, Lecture Notes for Index Number Theory and Measurement Economics, Department of Economics, University of British Columbia, Canada. http://faculty.arts.ubc.ca/ediewert/580ch3.pdf.

DivisiaF. 1926. L’indice monetaire et la theorie de la monnaie. Paris: Societe anonyme du Recueil Sirey.

DrobischM.W. 1871. “Űber die Berechnung der Veränderungen der Waarenpreise und des Geldwerths.” Jahrbücher für Nationalökonomie und Statistik16: 143–156.

DutotCharles. 1738. Réflexions politiques sur les finances et le commerce. Volume 1. La Haye: Les frères Vaillant et N. Prevost.

EdgeworthF.Y. 1888. “Some New Methods of Measuring Variation in General Prices.” Journal of the Royal Statistical Society51: 346–368.

EdgeworthF.Y. 1896. “A Defense of Index Numbers.” Economic Journal6: 132–142.

EdgeworthF.Y. 1901. “Mr. Walsh on the Measurement of General Exchange Value.” Economic Journal11: 404–416.

EdgeworthF.Y. 1925. Papers Relating to Political Economy. Volume 1. New York: Burt Franklin.

EichhornW. 1978. Functional Equations in Economics. London: Addison-Wesley.

EichhornW., and VoellerJ.. 1976. Theory of the Price Index. . Volume 140. Berlin: Springer-Verlag.

FergerW.F. 1946. “Historical Note on the Purchasing Power Concept and Index Numbers.” Journal of the American Statistical Association41: 53–57.

FisherI. 1911. The Purchasing Power of Money. London: Macmillan.

FisherI. 1921. “The Best Form of Index Number.” Quarterly Publication of the American Statistical Association17: 533–537.

FisherI. 1922. The Making of Index Numbers. Boston: Houghton-Mifflin.

FisherI. 1997. “An Address on the Irving Fisher Foundation, 11 September 1946.” In BarberW. J., assisted by DimandR.W. and FosterK., eds., The Works of Irving Fisher. Volume 1: The Early Professional Works. London: Pickering & Chatto, pp. 22–37.

FisherW.C. 1913. “The Tabular Standard in Massachusetts History.” Quarterly Journal of Economics27: 417–451.

FrischR. 1930. “Necessary and Sufficient Conditions Regarding the Form of an Index Number which Shall Meet Certain of Fisher’s Tests.” American Statistical Association Journal25: 397–406.

FrischR. 1936. “Annual Survey of General Economic Theory: The Problem of Index Numbers.” Econometrica4: 1–39.

FunkeH., and VoellerJ.. 1978. “A Note on the Characterization of Fisher’s Ideal Index.” In EichhornW., HennR., OpitzO., and ShephardR.W., eds., Theory and Applications of Economic Indices. Würzburg: Physica-Verlag, pp. 177–181.

GiniC. 1931. “On the Circular Test of Index Numbers.” Metron9 (9): 3–24.

HicksJ.R. 1946. Value and Capital. Second edition. Oxford: Claredon Press.

HillR. J. 1999a. “Comparing Price Levels across Countries Using Minimum Spanning Trees.” The Review of Economics and Statistics81: 135–142.

HillR.J. 1999b. “International Comparisons using Spanning Trees.” In HestonA. and LipseyR.E., eds., International and Interarea Comparisons of Income, Output and Prices. . Volume 61. NBER, Chicago: The University of Chicago Press, pp. 109–120.

HillR.J. 2001. “Measuring Inflation and Growth Using Spanning Trees.” International Economic Review42: 167–185.

HillR.J. 2004. “Constructing Price Indexes Across Space and Time: The Case of the European Union.” American Economic Review94: 1379–1410.

HillR.J. 2009. “Comparing Per Capita Income Levels Across Countries Using Spanning Trees: Robustness, Prior Restrictions, Hybrids and Hierarchies.” In Prasada RaoD.S., ed., Purchasing Power Parities of Currencies: Recent Advances in Methods and Applications. Cheltenham, UK: Edward Elgar, pp. 217–244.

HillT.P. 1988. “Recent Developments in Index Number Theory and Practice.” OECD Economic Studies10: 123–148.

ILO/IMF/OECD/UNECE/Eurostat/The World Bank. 2004. Consumer Price Index Manual: Theory and Practice, edited by HillPeterGeneva: International Labour Office.

IvancicL., DiewertW.E., and FoxK.J.. 2011. “Scanner Data, Time Aggregation and the Construction of Prices Indexes.” Journal of Econometrics161: 24–35.

JevonsW.S., 1865. “The Variation of Prices and the Value of the Currency since 1782.” Journal of the Statistical Society of London28: 294–320. .

JevonsW.S. 1884. “A Serious Fall in the Value of Gold Ascertained and its Social Effects Set Forth 1863.” In Investigations in Currency and Finance, London: Macmillan and Co, pp. 13–118.

KeynesJ.M. 1930. Treatise on Money. Volume 1. London: Macmillan.

KnibbsSir G.H. 1924. “The Nature of an Unequivocal Price Index and Quantity Index.” Journal of the American Statistical Association19: 42–60 and 196–205.

KonüsA.A. 1924. “The Problem of the True Index of the Cost of Living.” Translated in Econometrica7 (1939): 10–29.

KonüsA.A, and ByushgensS.S.. 1926. “K probleme pokupatelnoi cili deneg.” Voprosi Konyunkturi2: 151–172.

LaspeyresE. 1871. “Die Berechnung einer mittleren Waarenpreissteigerung.” Jahrbücher für Nationalökonomie und Statistik16: 296–314.

LehrJ. 1885. Beitrage zur Statistik der Preise. Frankfurt: J.D. Sauerlander.

LoweJ. 1823. The Present State of England in Regard to Agriculture, Trade and Finance. Second edition. London: Longman, Hurst, Rees, Orme and Brown.

MalmquistS. 1953. “Index Numbers and Indifference Surfaces.” Trabajos de Estatistica4: 209–242.

PaascheH. 1874. “Über die Preisentwicklung der letzten Jahre nach den Hamburger Borsennotirungen.” Jahrbücher für Nationalökonomie und Statistik12: 168–178.

PersonsW.M. 1928. The Construction of Index Numbers. Cambridge, MA: The Riverside Press.

SamuelsonP.A., and SwamyS.. 1974. “Invariant Economic Index Numbers and Canonical Duality: Survey and Synthesis.” American Economic Review64: 566–593.

ScropeG.P. 1833. Principles of Political Economy. London: Longman, Rees, Orme, Brown, Green and Longman.

SelvanathanE.A., and Prasada RaoD.S.. 1994. Index Numbers: A Stochastic Approach. Ann Arbor: The University of Michigan Press.

ShephardR.W. 1953. Cost and Production Functions. Princeton: Princeton University Press.

SidgwickH. 1883. The Principles of Political Economy. London: Macmillan.

SzulcB.J. 1983. “Linking Price Index Numbers.” In DiewertW.E. and MontmarquetteC., eds., Price Level Measurement.Ottawa: Statistics Canada, pp. 537–566.

TheilH. 1967. Economics and Information Theory. Amsterdam: North-Holland Publishing.

TörnqvistL. 1936. “The Bank of Finland’s Consumption Price Index.” Bank of Finland Monthly Bulletin10: 1–8.

TörnqvistL, and TörnqvistE.. 1937. “Vilket är förhällandet mellan finska markens och svenska kronans köpkraft?” Ekonomiska Samfundets Tidskrift39: 1–39. .

VogtA. 1978. “Divisia Indices on Different Paths.” In EichhornW., HennR., OpitzO., and ShephardR. W., eds., Theory and Applications of Economic Indices. Würzburg: Physica-Verlag, pp. 297–305.

VogtA. 1980. “Der Zeit und der Faktorumkehrtest als ‘Finders of Tests.’” Statistische Hefte21: 66–71.

WalshC.M. 1901. The Measurement of General Exchange Value. New York: Macmillan and Co.

WalshC.M. 1921a. The Problem of Estimation. London: P. S. King & Son.

WalshC.M. 1921b. “The Best Form of Index Number: Discussion.” Quarterly Publication of the American Statistical Association17: 537–544.

WalshC.M. 1924. “Professor Edgeworth’s Views on Index Numbers.” Quarterly Journal of Economics38: 500–519.

WynneM.A. 1997. “Commentary on Measuring Short Run Inflation for Central Bankers.” Federal Reserve Bank of St. Louis Review79 (3): 161–167.

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