Open Access

Characterizations of Distributions of Ratios of Certain Independent Random Variables

   | Aug 24, 2013

Cite

Ahsanullah, M. and Hamedani, G.G., Certain characterizations of the power function and beta distributions based on order statistics, JSTA, 6 (2007) , 220225.Search in Google Scholar

Galambos, J. and Kotz, S., Characterizations of probability distributions. A unified approach with an emphasis on exponential and related models, Lecture Notes in Mathematics, 675, Springer, Berlin, 1978.Search in Google Scholar

Glanzel, W., A characterization of the normal distribution, Studia Sci. Math.Search in Google Scholar

Hungar. 23 (1988) , 89 91.10.14315/prth-1988-0203Search in Google Scholar

Glanzel, W., A characterization theorem based on truncated moments and its application to some distribution families, Mathematical Statistics and Probability Theory (Bad Tatzmannsdorf, 1986), Vol. B, Reidel, Dordrecht, 1987, 75 84.10.1007/978-94-009-3965-3_8Search in Google Scholar

Glanzel, W., Some consequences of a characterization theorem based on truncated moments, Statistics 21 (1990) , 613 618.10.1080/02331889008802273Search in Google Scholar

Glanzel, W. and Hamedani, G.G., Characterizations of univariate continuous distributions, Studia Sci. Math. Hungar. 37 (2001) , 83 118.10.1556/sscmath.37.2001.1-2.5Search in Google Scholar

Glanzel, W., IrWin - A characterization tool for discrete distributions under Window(R), Proc. COMPSTAT ’ 94 (Vienna, 1994), Short Communications in Computational Statistics, ed. by R. Dutter and W. Grossman, Vienna, 199 200.Search in Google Scholar

Glanzel, W., Telcs, A. and Schubert, A., Characterization by truncated moments and its application to Pearson-type distributions, Z. Wahrsch. Verw. Gebiete 66 (1984) , 173 183.10.1007/BF00531527Search in Google Scholar

Hamedani, G.G., Characterizations of Cauchy, normal and uniform distributions, Studia Sci. Math. Hungar. 28 (1993) , 243 247.Search in Google Scholar

Hamedani, G.G., Characterizations of univariate continuous distributions. II, Studia Sci. Math. Hungar. 39 (2002) , 407 424.10.1556/sscmath.39.2002.3-4.11Search in Google Scholar

Hamedani, G.G., Characterizations of univariate continuous distributions. III, Studia Sci. Math. Hungar. 43 (2006) , 361 385.10.1556/sscmath.43.2006.3.4Search in Google Scholar

Hamedani, G.G., Characterizations of univariate continuous distributions based on hazard function, J. of Applied Statistical Science, 13 (2004) , 169 183.Search in Google Scholar

Hamedani, G.G., Characterizations of continuous univariate distributions based on the truncated moments of functions of order statistics, Studia Sci. Math. Hungar. 47 (2010) , 462 484.10.1556/sscmath.2009.1143Search in Google Scholar

Hamedani, G.G. and Ahsanullah, M., Characterizations of univariate continuous distributions based on hazard function II, J. of Statistical Theory and Applications, 4 (2005) , 218 238.Search in Google Scholar

Hamedani, G.G., Ahsanullah, M. and Sheng, R., Characterizations of certain continuous univariate distributions based on truncated moment of the first order statistic, Aligrah J. of Statistics, 28 (2008) , 75 81.Search in Google Scholar

Kotz, S. and Shanbhag, D.N., Some new approaches to probability distributions, Adv. in Appl. Probab. 12 (1980) , 903 921.10.1017/S0001867800020164Search in Google Scholar

Nadarajah, S., Distribution properties and estimation of the ratio of independent Weibull random variables, Adv. Stat. Anal. 94 (2010) , 231 246.10.1007/s10182-010-0134-1Search in Google Scholar

Nadarajah, S. and Kotz, S., On the product and ratio of gamma and Weibull random variables, Econometric Theory, 22 (2006) , 338 344.10.1017/S0266466606060154Search in Google Scholar

Shakil, M. and Ahsanullah, M., Record values of the ratio of Rayleigh random variables, Pak. J. Statist. 27 (2011) , 307 325.Search in Google Scholar

ISSN:
1336-9180
Language:
English