|
|
Journal of the Iranian Statistical Society، جلد ۱۹، شماره ۱، صفحات ۳۹-۵۷
|
|
|
| عنوان فارسی |
|
|
| چکیده فارسی مقاله |
|
|
| کلیدواژه‌های فارسی مقاله |
|
|
| عنوان انگلیسی |
Bounds for CDFs of Order Statistics Arising from INID Random Variables |
|
| چکیده انگلیسی مقاله |
In recent decades, studying order statistics arising from independent and not necessary identically distributed (INID) random variables has been a main concern for researchers. A cumulative distribution function (CDF) of these random variables (Fi:n) is a complex manipulating, long time consuming and a software-intensive tool that takes more and more times. Therefore, obtaining approximations and boundaries for Fi:n and other theoretical properties of these variables, such as moments, quantiles, characteristic function, and some related probabilities, has always been a main chal- lenge. Recently, Bayramoglu (2018) provided a new definition of ordering, by point to point ordering Fi's (D-order) and showed that these new functions are CDFs and also, the corresponding random variables are independent. Thus, he suggested new CDFs (F[i]) that can be used as an alternative of Fi:n. Now with using, just F[1], and F[n], we have found the upper and lower bounds of Fi:n. Furthermore, specially a precisely approximation for F1:n and Fn:n (F1;n:n). Also in many cases approximations for other CDFs are derived. In addition, we compare approximated function with those o ered by Bayramoglu and it is shown that our results of these proposed functions are far better than D-order functions. |
|
| کلیدواژه‌های انگلیسی مقاله |
|
|
| نویسندگان مقاله |
جابر کاظم پور | Jaber Kazempoor
Department of Statistics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran.
دانشگاه فردوسی مشهد
آرزو حبیبی راد | Arezou Habibirad
Department of Statistics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran.
دانشگاه فردوسی مشهد
خیرالله اخلی | Kheirolah Okhli
Department of Statistics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran.
دانشگاه فردوسی مشهد
|
|
| نشانی اینترنتی |
http://jirss.irstat.ir/browse.php?a_code=A-11-155-1&slc_lang=en&sid=1 |
| فایل مقاله |
فایلی برای مقاله ذخیره نشده است |
| کد مقاله (doi) |
|
| زبان مقاله منتشر شده |
en |
| موضوعات مقاله منتشر شده |
62Gxx: Nonparametric inference |
| نوع مقاله منتشر شده |
Original Paper |
|
|
|
برگشت به:
صفحه اول پایگاه |
نسخه مرتبط |
نشریه مرتبط |
فهرست نشریات
|