کد مقاله کد نشریه سال انتشار مقاله انگلیسی ترجمه فارسی نسخه تمام متن
1154275 958379 2016 3 صفحه PDF ندارد دانلود رایگان
عنوان انگلیسی مقاله
Transmuted distributions and random extrema
ترجمه فارسی عنوان
توزیع بدل و اکسترمم تصادفی
کلمات کلیدی
نظریه توزیع؛ افراط؛ توزیع تعمیم یافته مارشال Olkin ؛ نقشه شکل درجه دوم؛ اکسترمم های تصادفی؛ نمایندگی تصادفی
Distribution theory; Extremes; Marshall–Olkin generalized distribution; Quadratic transmutation map; Random extrema; Stochastic representation
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آمار و احتمال
چکیده انگلیسی

Recent years have seen an increased interest in the transmuted probability models, which arise from transforming a “base” distribution into its generalized counterpart. While many standard probability distributions were generalized throughout this construction, the concept lacked deeper theoretical interpretation. We show that the transmuted distributions can be viewed as the distribution of maxima (or minima) of a random number NN of independent and identically distributed variables with the base distribution, where NN has a Bernoulli distribution shifted up by one. Consequently, the transmuted models are a special case of extremal distributions defined through a more general NN.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Statistics & Probability Letters - Volume 116, September 2016, Pages 6–8
نویسندگان
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