Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/266295 
Year of Publication: 
2022
Citation: 
[Journal:] Statistics in Transition new series (SiTns) [ISSN:] 2450-0291 [Volume:] 23 [Issue:] 1 [Publisher:] Sciendo [Place:] Warsaw [Year:] 2022 [Pages:] 55-74
Publisher: 
Sciendo, Warsaw
Abstract: 
We introduce a new generalized family of nonnegative continuous distributions by addingtwo extra parameters to a lifetime distribution, called the baseline distribution, by twice com-pounding a power series distribution. The new family, called the lifetime power series-powerseries family, has a serial arrangement of parallel structures, which extends the Marshall andOlkin structure. Four special models are discussed. A mathematical treatment of the newdistributions is provided, including ordinary and incomplete moments, quantile, momentgenerating and mean residual functions. The maximum likelihood estimation technique isused to estimate the model parameters and a simulation study is conducted to investigatethe performance of the maximum likelihood estimates. Its applicability is also illustrated bymeans of two real data sets.
Subjects: 
compound distribution
hazard rate function
lifetime distribution
maximumlikelihood estimation
power series distribution
Persistent Identifier of the first edition: 
Creative Commons License: 
cc-by-sa Logo
Document Type: 
Article

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