01798cam a2200253 a 4500003000900000005001700009008004100026040002800067041000800095100003100103245017800134246015100312260005000463300003500513502013400548520066300682530002201345653002101367653002901388653002001417700003901437700003501476856003301511EG-GiCUC20250223032531.0200309s2019 ua d f m 000 0 eng d aEG-GiCUCbengcEG-GiCUC0 aeng0 aMohamed Bahaa Eldin Moamen10aTwo-parameter natural discrete lindley distribution, with applications to reliability theory / cMohamed Bahaa Eldin Moamen ; Supervised Abdulhadi N. Ahmed , Ahmed Z. Afify 15aتوز{u٠٦أأ}ع ليندلى الطبيعى المتقطع ذوالمعلمتين مع تطبيقات فى نظرية الموثوقية  aCairo : bMohamed Bahaa Eldin Moamen , c2019 a70 Leaves : bcharts ; c30cm  aThesis (M.Sc.) - Cairo University - Faculty of Graduate Studies for Statistical Research - Department of Mathematical Statistics  aIn this thesis, apart from discretization techniques, we propose and study a new natural discrete analog of the Lindley distribution as a mixture of geometric and negative binomial distributions. The proposed model extends some recent discrete Lindley distributions like the discrete Lindley of Bakouch et al. (2014), the two-parameter discrete Lindley of Hussain et al. (2016).The new distribution has many interesting properties which make it superior to many other discrete distributions, particularly in analyzing over dispersed count data. Practical implications and future directions are also discussed at the conclusion of the study aIssued also as CD 4aCharacterization 4aDiscrete Lindley analog  4aExtreme values 0 aAbdulhadi N. Ahmed , eSupervisor 0 aAhmed Z. Afify , eSupervisor  uhttp://172.23.153.220/th.pdf