{"ID":2880343,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2508.14855","arxiv_id":"2508.14855","title":"Ordering results for random maxima and minima from two dependent Kumaraswamy generalized distributed samples","abstract":"Let $\\{X_{1},\\ldots,X_{N_1}\\}$ and $\\{Y_{1},\\ldots,Y_{N_2}\\}$ be two sequences of interdependent heterogeneous samples, where for $i=1,\\ldots,N_{1},$ $X_{i}\\sim \\text{Kw-G}(x, α_{i}, γ_{i};G)$ and for $i=1,\\ldots,N_{2},$ $Y_{i}\\sim \\text{Kw-G}(x, β_{i}, δ_{i};H),$ where $G$ and $H$ are baseline distributions in the Kumaraswamy generalized model and $N_1$ and $N_2$ are two positive integer-valued random variables, independently of $X_{i}'$s and $Y_{i}'$s, respectively. In this article, we establish several stochastic orders such as usual stochastic, hazard rate, reversed hazard rate, dispersive and likelihood ratio orders between the random maxima ($X_{{N_1}:{N_1}}$ and $Y_{{N_2}:{N_2}}$) and the random minima ($X_{{1}:{N_1}}$ and $X_{{1}:{N_2}}$), when the sample sizes are different and random (positive).","short_abstract":"Let $\\{X_{1},\\ldots,X_{N_1}\\}$ and $\\{Y_{1},\\ldots,Y_{N_2}\\}$ be two sequences of interdependent heterogeneous samples, where for $i=1,\\ldots,N_{1},$ $X_{i}\\sim \\text{Kw-G}(x, α_{i}, γ_{i};G)$ and for $i=1,\\ldots,N_{2},$ $Y_{i}\\sim \\text{Kw-G}(x, β_{i}, δ_{i};H),$ where $G$ and $H$ are baseline distributions in the Kum...","url_abs":"https://arxiv.org/abs/2508.14855","url_pdf":"https://arxiv.org/pdf/2508.14855v1","authors":"[\"Sangita Das\",\"Narayanaswamy Balakrishnan\"]","published":"2025-08-20T17:07:45Z","proceeding":"math.ST","tasks":"[\"math.ST\"]","methods":"[]","has_code":false}