The Burr Type Xii Distribution with Some Statistical Properties

نویسندگان

چکیده

This article addresses the various mathematical and statistical properties of Burr type XII distribution (such as quantiles, moments, moment generating function, hazard rate, conditional mean residual lifetime, past deviation about median, stochasic ordering, stress-strength parameter, entropies, Bonferroni Lorenz curves order statistics) are derived. We discuss some exact expressions recurrence relations for single product moments upper record values. Further, using we have tabulated means variances values from samples sizes up to 10 α β. Finally a characterization this based on relation kth is presented.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Discrete Generalized Burr-Type XII Distribution

A discrete analogue of generalized Burr-type XII distribution is introduced using a general approach of discretizing a continuous distribution. It may be worth exploring the possibility of developing a discrete version of the six parameter generalized Burr-type XII distribution for use in modeling a discrete data. This distribution is suggested as a suitable reliability model to fit a range of ...

متن کامل

On Modified Log Burr XII Distribution

Pearson differential equation‎. ‎This distribution is also obtained from a compounding mixture of‎ ‎distributions‎. ‎Moments‎, ‎inequality measures‎, ‎uncertainty measures and reliability measures are theoretically established‎. ‎Characterizations of MLBXII distribution are also studied via different techniques‎. ‎Parameters of MLBXII dist...

متن کامل

The beta Burr XII distribution with application to lifetime data

For the first time, a five-parameter distribution, the so-called beta Burr XII distribution, is defined and investigated. The new distribution contains as special sub-models some well-known distributions discussed in the literature, such as the logistic, Weibull and Burr XII distributions, among several others. We derive its moment generating function. We obtain, as a special case, the moment g...

متن کامل

The beta Burr type X distribution properties with application

We develop a new continuous distribution called the beta-Burr type X distribution that extends the Burr type X distribution. The properties provide a comprehensive mathematical treatment of this distribution. Further more, various structural properties of the new distribution are derived, that includes moment generating function and the rth moment thus generalizing some results in the literatur...

متن کامل

Burr Type-XII Percentile Control Charts

The Burr type XII has been studied for various applications of lifetime modelings. However, control charts related to the Burr type XII percentiles have not been seen in the literature. In this paper, three control charts for the Burr type XII percentiles are investigated. An extensive Monte Carlo simulation study is conducted to compare among the Shewhart-type chart, and parametric bootstrap c...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of data science

سال: 2021

ISSN: ['1680-743X', '1683-8602']

DOI: https://doi.org/10.6339/jds.201707_15(3).0008