References
- von der Lippe P. Index theory and price statistics. Frankfurt: Peter Lang; 2007.
- Balk BM. A method for constructing price indices for seasonal commodities. J R Stat Soc A. 1980;143:68–75. doi: 10.2307/2981770
- Clements KW, Izan HY. A note on estimating divisia index numbers. Internat Econom Rev. 1981;22:745–747. doi: 10.2307/2526174
- Clements KW, Izan HY. The measurement of inflation: a stochastic approach. J Bus Econ Stat. 1987;5:339–350.
- Bryan MF, Cecchetti SG. The consumer price index as a measure of inflation. Econ Rev. 1993;29:15–24.
- Selvanathan EA, Prasada Rao DS. Index numbers: a stochastic approach. Ann Arbor: The University of Michigan Press; 1994.
- Clements KW, Izan HY, Selvanathan EA. Stochastic index numbers: a review. Int Statist Rev. 2006;74(2):235–270. doi: 10.1111/j.1751-5823.2006.tb00172.x
- Diewert WE. On the stochastic approach to index numbers. Discussion Paper No. 05-31, Department of Economics, University of British Columbia; 1995.
- Silver M, Heravi S. Why elementary price index number formulas differ: evidence on price dispersion. J Econometrics. 2007;140:874–883. doi: 10.1016/j.jeconom.2006.07.017
- Marsaglia G. Ratios of normal variables. J Statist Softw. 2006;16(4):1–10.
- Hinkley D. On the ratio of two correlated normal random variables. Biometrika. 1969;56:635–639. doi: 10.1093/biomet/56.3.635
- Marsaglia G. Ratios of normal variables and ratios of sums of uniform variables. J Amer Statist Assoc. 1965;60: 193–204. doi: 10.1080/01621459.1965.10480783
- Maraglia G. Evaluating the normal distribution. J Statist Softw. 2004;11(4):1–11.
- Hayya J, Armstrong D, Gressis N. A note on the ratio of two normally distributed variables. Manage Sci. 1975;21(11):1338–1341. doi: 10.1287/mnsc.21.11.1338
- White AG. Measurement biases in consumer price indexes. Int Stat Rev. 1999;67(3):301–325. doi: 10.1111/j.1751-5823.1999.tb00451.x
- De Haan. Generalised fisher price indexes and the use of scanner data in the consumer price index (CPI). J Official Stat. 2002;18(1):61–85.
- Pham-Gia T, Turkkan N, Marchand E. Density of the ratio of two normal random variables and applications. Comm Statist Theory Methods. 2006;35(9):1569–1591. doi: 10.1080/03610920600683689
- Kermond J. An introduction to the algebra of random variables. Mathematical association of Victoria 47th annual conference proceedings – new curriculum. New Opportunities (The Mathematical Association of Victoria); Cliveden, Australia; 2010. p. 1–16.
- Żądło T. On prediction of total value in incompletely specified domains. Aust N Z J Stat. 2006;48:269–283.
- Żądło T. On MSE of EBLUP. Statist Papers. 2009;50:101–118.
- Białek J. Application of stochastic index numbers in inflation measurement – the case of Poland. Statistika–Stat Econ J. 2014;94(2):46–53.