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Journal of the American Statistical Association Volume 65, 1970 - Issue 331
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Theory and Method

The Characterizations for Exponential and Geometric Distributions

D. N. Shanbhag Department of Mathematics, The University of Western Australia, Australia
Pages 1256-1259 | Published online: 05 Apr 2012

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B. Ebner. (2023) The test of exponentiality based on the mean residual life function revisited. Journal of Nonparametric Statistics 35:3, pages 601-621.
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V. U. Dixit & Leela Subramanian. (2016) Characterization Properties of Two-Piece Double Exponential Distribution. American Journal of Mathematical and Management Sciences 35:3, pages 227-232.
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Kong-Ming Chong. (1977) On Characterizations of the Exponential and Geometric Distributions by Expectations. Journal of the American Statistical Association 72:357, pages 160-161.
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M. Cockeran, S. G. Meintanis, L. Santana & J. S. Allison. (2021) Goodness-of-fit testing of survival models in the presence of Type–II right censoring. Computational Statistics 36:2, pages 977-1010.
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J. S. Allison, L. Santana, N. Smit & I. J. H. Visagie. (2017) An ‘apples to apples’ comparison of various tests for exponentiality. Computational Statistics 32:4, pages 1241-1283.
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Essam K. AL-Hussaini & Mohammad AhsanullahEssam K. AL-Hussaini & Mohammad Ahsanullah. 2015. Exponentiated Distributions. Exponentiated Distributions 53 79 .
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Jyh-Cherng Su & Wen-Jang Huang. (2000) Characterizations based on conditional expectations. Statistical Papers 41:4, pages 423-435.
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Jong-Wuu Wu. (2000) CHARACTERIZATION OF THE FINITE MIXTURE OF EXPONENTIAL DISTRIBUTIONS BY CONDITIONAL MOMENTS OF NONADJACENT RECORD VALUES. JOURNAL OF THE JAPAN STATISTICAL SOCIETY 30:1, pages 105-113.
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Manuel Franco & José M. Ruiz. (1998) Characterization of discrete populations through conditional expectations of order statistics. Statistical Papers 39:3, pages 249-262.
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Jong-Wuu Wu & Wen-Chuan Lee. (1998) CHARACTERIZATION OF GENERALIZED MIXTURES OF EXPONENTIAL DISTRIBUTION BASED ON CONDITIONAL EXPECTATION OF ORDER STATISTICS. JOURNAL OF THE JAPAN STATISTICAL SOCIETY 28:1, pages 39-44.
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Caterina Dimaki & Evdokia Xekalaki. (1996) Towards a unification of certain characterizations by conditional expectations. Annals of the Institute of Statistical Mathematics 48:1, pages 157-168.
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K. R. Muraleedharan Nair & N. Unnikrishnan Nair. (1988) On characterizing the bivariate exponential and geometric distributions. Annals of the Institute of Statistical Mathematics 40:2, pages 267-271.
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Mynt Zijlstra. (2016) Characterizations of the geometric distribution by distributional properties. Journal of Applied Probability 20:4, pages 843-850.
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L. B. Klebanov. (1981) Some Results Connected with a Characterization of the Exponential Distribution. Theory of Probability & Its Applications 25:3, pages 617-622.
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S. Kotz & D. N. Shanbhag. (2016) Some new approaches to probability distributions. Advances in Applied Probability 12:4, pages 903-921.
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Donald G. Morrison. (2016) On linearly increasing mean residual lifetimes. Journal of Applied Probability 15:3, pages 617-620.
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Donald G. Morrison. (2016) On linearly increasing mean residual lifetimes. Journal of Applied Probability 15:03, pages 617-620.
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S. Talwalker. (1977) A note on characterization by the conditional expectation. Metrika 24:1, pages 129-136.
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Ignacy I. Kotlarski & William E. Hinds. (2016) Characterization theorems using conditional expectations. Journal of Applied Probability 12:2, pages 400-406.
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A. C. Dallas. (2016) A characterization of the geometric distribution. Journal of Applied Probability 11:03, pages 609-611.
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