A new two-parameter exponentiated discrete Lindley distribution : properties, estimation and applications

© 2019 Informa UK Limited, trading as Taylor & Francis Group.

Bibliographische Detailangaben
Veröffentlicht in:Journal of applied statistics. - 1991. - 47(2020), 2 vom: 12., Seite 354-375
1. Verfasser: El-Morshedy, M (VerfasserIn)
Weitere Verfasser: Eliwa, M S, Nagy, H
Format: Online-Aufsatz
Sprache:English
Veröffentlicht: 2020
Zugriff auf das übergeordnete Werk:Journal of applied statistics
Schlagworte:Journal Article Discrete lindley distribution L-moment statistics estimation methods hazard rate function mean residual lifetime
LEADER 01000caa a22002652c 4500
001 NLM342279084
003 DE-627
005 20250303113450.0
007 cr uuu---uuuuu
008 231226s2020 xx |||||o 00| ||eng c
024 7 |a 10.1080/02664763.2019.1638893  |2 doi 
028 5 2 |a pubmed25n1140.xml 
035 |a (DE-627)NLM342279084 
035 |a (NLM)35706520 
040 |a DE-627  |b ger  |c DE-627  |e rakwb 
041 |a eng 
100 1 |a El-Morshedy, M  |e verfasserin  |4 aut 
245 1 2 |a A new two-parameter exponentiated discrete Lindley distribution  |b properties, estimation and applications 
264 1 |c 2020 
336 |a Text  |b txt  |2 rdacontent 
337 |a ƒaComputermedien  |b c  |2 rdamedia 
338 |a ƒa Online-Ressource  |b cr  |2 rdacarrier 
500 |a Date Revised 16.07.2022 
500 |a published: Electronic-eCollection 
500 |a Citation Status PubMed-not-MEDLINE 
520 |a © 2019 Informa UK Limited, trading as Taylor & Francis Group. 
520 |a This paper introduces a new two-parameter exponentiated discrete Lindley distribution. A wide range of its structural properties are investigated. This includes the shape of the probability mass function, hazard rate function, moments, skewness, kurtosis, stress-strength reliability, mean residual lifetime, mean past lifetime, order statistics and L-moment statistics. The hazard rate function can be increasing, decreasing, decreasing-increasing-decreasing, increasing-decreasing-increasing, unimodal, bathtub, and J-shaped depending on its parameters values. Two methods are used herein to estimate the model parameters, namely, the maximum likelihood, and the proportion. A detailed simulation study is carried out to examine the bias and mean square error of maximum likelihood and proportion estimators. The flexibility of the proposed model is explained by using four distinctive data sets. It can serve as an alternative model to other lifetime distributions in the existing statistical literature for modeling positive real data in many areas 
650 4 |a Journal Article 
650 4 |a Discrete lindley distribution 
650 4 |a L-moment statistics 
650 4 |a estimation methods 
650 4 |a hazard rate function 
650 4 |a mean residual lifetime 
700 1 |a Eliwa, M S  |e verfasserin  |4 aut 
700 1 |a Nagy, H  |e verfasserin  |4 aut 
773 0 8 |i Enthalten in  |t Journal of applied statistics  |d 1991  |g 47(2020), 2 vom: 12., Seite 354-375  |w (DE-627)NLM098188178  |x 0266-4763  |7 nnas 
773 1 8 |g volume:47  |g year:2020  |g number:2  |g day:12  |g pages:354-375 
856 4 0 |u http://dx.doi.org/10.1080/02664763.2019.1638893  |3 Volltext 
912 |a GBV_USEFLAG_A 
912 |a SYSFLAG_A 
912 |a GBV_NLM 
912 |a GBV_ILN_350 
951 |a AR 
952 |d 47  |j 2020  |e 2  |b 12  |h 354-375