Ordering properties of sample minimum from Kumaraswamy-G random\n variables

2016/08/30 by Amarjit Kundu, Shovan Chowdhury, Kundu, Amarjit +1 · 1 citation
Computer Science · Decision Sciences · Mathematics · #Bayesian Methods and Mixture Models #FOS: Mathematics #Probabilistic and Robust Engineering Design #Statistical Distribution Estimation and Applications #Statistics Theory (math.ST)

paper · pdf · doi:10.48550/arxiv.1608.08535

openalex publication_date 2016/08/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we compare the minimums of two independent and heterogeneous\nsamples each following Kumaraswamy-G distribution with the same and the\ndifferent parent distribution functions. The comparisons are carried out with\nrespect to usual stochastic ordering and hazard rate ordering with majorized\nshape parameters of the distributions. The likelihood ratio ordering between\nthe minimum order statistics is established for heterogeneous multiple outlier\nKumaraswamy-G random variables with the same parent distribution function\n

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• Ordering results for random maxima and minima from two dependent Kumaraswamy generalized distributed samples

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