1403/01/09
معصومه اکبری لاکه

معصومه اکبری لاکه

مرتبه علمی: استادیار
ارکید:
تحصیلات: دکترای تخصصی
اسکاپوس:
دانشکده: دانشکده علوم ریاضی
نشانی:
تلفن: 01135302429

مشخصات پژوهش

عنوان
Characterization and Goodness-of-Fit Test of Pareto and Some Related Distributions Based on Near-Order Statistics
نوع پژوهش
JournalPaper
کلیدواژه‌ها
does not have
سال
2020
مجله Journal of Probability and Statistics
شناسه DOI
پژوهشگران masoumeh Akbari

چکیده

In this paper, a new definition of the number of observations near the kth order statistics is developed. Then some characterization results for Pareto and some related distributions are established in terms of mass probability function, first moment of these new counting random variables, and using completeness properties of the sequence of functions {x_n, 0 < x < 1, n ≥ 1}. Finally, new goodness-of-fit tests based on these new characterizations for Pareto distribution are presented. And the power values of the proposed tests are compared with the power values of well-known tests such as Kolmogorov–Smirnov and Cramer-von Mises tests by Monte Carlo simulations