|کد مقاله||کد نشریه||سال انتشار||مقاله انگلیسی||ترجمه فارسی||نسخه تمام متن|
|1154275||958379||2016||3 صفحه PDF||ندارد||دانلود رایگان|
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.
Journal: Statistics & Probability Letters - Volume 116, September 2016, Pages 6–8