A new two-parameter distribution: properties and applications
محل انتشار: مجله مدلسازی ریاضی، دوره: 7، شماره: 1
سال انتشار: 1398
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 46
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شناسه ملی سند علمی:
JR_JMMO-7-1_003
تاریخ نمایه سازی: 19 خرداد 1403
چکیده مقاله:
In this paper, a new two-parameter lifetime distribution called ``the exponentiated Shanker distribution" is suggested. The new distribution has an increasing, decreasing and bathtub-shaped hazard rate function (hrf) for modeling lifetime data. Various mathematical and statistical properties of the proposed distribution including its hrf, complete and incomplete moments, skewness and kurtosis, mean deviations, Bonferroni and Lorenz curves are discussed. Estimation of its parameters is also discussed using the method of maximum likelihood estimation and a simulation study is given. Finally, two applications of the new distribution are presented using two real data sets. The results also confirmed the suitability of the proposed model for the real data sets.
کلیدواژه ها:
Exponentiated Shanker distribution ، goodness of fit ، lifetime data ، mathematical and statistical characteristics ، parameter estimation
نویسندگان
Anita Abdollahi Nanvapisheh
Department of Statistics, Islamic Azad University, Tehran north branch, Tehran, Iran
S.M.T.K. MirMostafaee
Department of Statistics, University of Mazandaran, P.O. Box ۴۷۴۱۶-۱۴۶۷, Babolsar, Iran
Emrah Altun
Department of Statistics, Bartin University, Bartin ۷۴۱۰۰, Turkey