Discrete Erlang-truncated exponential distributions
作者： Alaa R El-Alosey
DOI: 10.22271/MATHS.2021.V6.I1C.653
关键词: Exponential distribution 、 Applied mathematics 、 Quantile function 、 Moment-generating function 、 Order statistic 、 Exponential function 、 Rényi entropy 、 Mathematics 、 Distribution (number theory) 、 Discretization
摘要: In this paper, the discrete Erlang-truncated exponential distribution is defined by using general approach of discretizing a continuous while retaining its survival function. The statistical properties such as quantile function, moments, moment generating Renyi entropy and order statistics are calculated. estimation parameters model approached maximum likelihood (ML) method. stress-strength parameter obtained estimated ML
sci-hub.st 参考文章(10)
Marianna Pensky, Samuel Kotz, Yan Lumelskii, The stress-strength model and its generalizations : theory and applications ,(2003)
Vahid Nekoukhou, Hamid Bidram, The exponentiated discrete Weibull Distribution Sort-statistics and Operations Research Transactions. ,vol. 39, pp. 127- 146 ,(2015)
Subrata Chakraborty, Dhrubajyoti Chakravarty, A new discrete probability distribution with integer support on ( Communications in Statistics-theory and Methods. ,vol. 45, pp. 492- 505 ,(2016) , 10.1080/03610926.2013.830743
Dilip Roy, The discrete normal distribution Communications in Statistics-theory and Methods. ,vol. 32, pp. 1871- 1883 ,(2003) , 10.1081/STA-120023256
I.E. Okorie, A.C. Akpanta, J. Ohakwe, D.C. Chikezie, The Extended Erlang-Truncated Exponential distribution: Properties and application to rainfall data. Heliyon. ,vol. 3, ,(2017) , 10.1016/J.HELIYON.2017.E00296
K. Jayakumar, M. Girish Babu, Discrete Additive Weibull Geometric Distribution Journal of Statistical Theory and Applications. ,vol. 18, pp. 33- 45 ,(2019) , 10.2991/JSTA.D.190306.005
Sajid Ali, Tanzila Zafar, Ismail Shah, Lichen Wang, Cumulative Conforming Control Chart Assuming Discrete Weibull Distribution IEEE Access. ,vol. 8, pp. 10123- 10133 ,(2020) , 10.1109/ACCESS.2020.2964602
Hameed Jimoh, Broderick Olusegun Oluyede, Divine Wanduku, Boikanyo Makubate, The Gamma Log-Logistic Erlang Truncated Exponential Distribution with Applications Journal of Animal Science. ,vol. 14, pp. 2141- 2164 ,(2019) , 10.16929/AS/2019.2141.152
Mujahida Sayyed, R. M. Sharma, Farkhunda Sayyed, Effect of inspection error on CUSUM control charts for the Erlang-truncated exponential distribution Life Cycle Reliability and Safety Engineering. ,vol. 10, pp. 1- 10 ,(2021) , 10.1007/S41872-020-00147-8
Ibrahim Elbatal, A. Aldukeel, On Erlang-Truncated Exponential Distribution: Theory and Application Pakistan Journal of Statistics and Operation Research. pp. 155- 168 ,(2021) , 10.18187/PJSOR.V17I1.2963