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Some inferences on truncated generalized Cauchy distribution. (English. French summary) Zbl 1332.62045

Summary: P. R. Rider [Ann. Inst. Stat. Math. 9, 215–223 (1958; Zbl 0087.34203)] introduced the generalized Cauchy distribution. In this paper we will consider a truncated version of the generalized Cauchy distribution. One possible use of the model is in life testing problem when the domain of application is non negative. Here we will consider several distributional properties of the truncated generalized Cauchy distribution. Someome characterizations of this distribution based on truncated moments, order statistics and record values, will be given.

MSC:

62E15 Exact distribution theory in statistics
62E10 Characterization and structure theory of statistical distributions
62G30 Order statistics; empirical distribution functions

Citations:

Zbl 0087.34203
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