MOMENTS PROPERTIES OF CONCOMITANTS OF GENERALIZED ORDER STATISTICS FROM FGMTBM EXPONENTIAL DISTRIBUTION

Autor: Kamal, Mustafa, Nayabuddin, Intekhab Alam, Ahmadur Rahman, Salam, Abdul, Zarrin, Shazia
Rok vydání: 2023
Předmět:
DOI: 10.24412/1932-2321-2023-273-348-358
Popis: Concurrent or induced order statistics are produced when individuals in a random sample are ordered in compliance with the corresponding values of some other random sample. Concomitants are most helpful when k(n) individuals are to be chosen using a selection technique based on their X-values. The relevant Y-values are then used to reflect how well a characteristic has performed. In this paper, concomitants of generalized order statistics (GOS) from Farlie Gumbel Morgenstern type bivariate moment (FGMTBM) exponential distribution are obtained. Additionally, distribution function (df) and probaility density function (pdf) r-th generalized order statistics and a joint pdf of r-th and s-th GOS were also obtained. Furthermore, we provide the minimum variance linear unbiased estimator (MVLUE) of the position and scale parameters of the concomitants of the k-th upper record values and order statistics for the distribution under consideration. Finally, an implementation of the suggested methodology has been taken into account.
Databáze: OpenAIRE