جستجوی مقالات مرتبط با کلیدواژه « sterling polynomials » در نشریات گروه « آمار »

This article first introduces the sterling polynomials and expresses the calculation methods in software R and their application in resolving a class of integrals which play an important role in the calculation of torques, torques of order statistics, Renyi and Shannon entropies in statistical distributions based on this type of integrals. Then, we obtain the torques of the two statistical distributions related to these integrals.

In this paper، we introduce a new five-parameters distribution with increasing، decreasing، bathtub-shaped failure rate، called as the Beta Weibull-Geometric (BWG) distribution. Using the Sterling Polynomials، the probability density function and several properties of the new distribution such as its reliability and failure rate functions، quantiles and moments، Renyi and Shannon entropies، moments of order statistics، mean residual life، reversed mean residual life are obtained. The maximum likelihood estimation procedure is presented in this paper. Also، we compare the results of fitting this distribution to some of their sub-models، using to a real data set. It is also shown that the BWG distribution fits better to this data set.