Dependence comparisons of order statistics in the proportional hazards model

2022/02/16 by Subhash C. Kochar, Kochar, Subhash
Computer Science · Mathematics · #60E15 #62H05 #Bayesian Methods and Mixture Models #FOS: Mathematics #Probability (math.PR) #Statistical Distribution Estimation and Applications #Statistical Methods and Bayesian Inference #Statistics Theory (math.ST)

paper · pdf · doi:10.48550/arxiv.2202.07874

openalex publication_date 2022/02/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let X₁, … , X_n be mutually independent exponential random variables with distinct hazard rates λ₁, … , λ_n > 0 and let Y₁, …, Y_n be a random sample from the exponential distribution with hazard rate \lmd = ∑_i=1ⁿ \lmd_i/n. Also let X_1:n < ⋯ < X_n:n and Y_1:n < ⋯ < Y_n:n be their associated order statistics. It is shown that for 1≤ i

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