DOAJ Open Access 2022

The Binomial–Natural Discrete Lindley Distribution: Properties and Application to Count Data

Shakaiba Shafiq Sadaf Khan Waleed Marzouk Jiju Gillariose Farrukh Jamal

Abstrak

In this paper, a new discrete distribution called Binomial–Natural Discrete Lindley distribution is proposed by compounding the binomial and natural discrete Lindley distributions. Some properties of the distribution are discussed including the moment-generating function, moments and hazard rate function. Estimation of the distribution’s parameter is studied by methods of moments, proportions and maximum likelihood. A simulation study is performed to compare the performance of the different estimates in terms of bias and mean square error. SO<sub>2</sub> data applications are also presented to see that the new distribution is useful in modeling data.

Topik & Kata Kunci

Applied mathematics. Quantitative methods Mathematics Electronic computers. Computer science

Penulis (5)

Shakaiba Shafiq

Sadaf Khan

Waleed Marzouk

Jiju Gillariose

Farrukh Jamal

Format Sitasi

APA MLA BibTeX

Shafiq, S., Khan, S., Marzouk, W., Gillariose, J., Jamal, F. (2022). The Binomial–Natural Discrete Lindley Distribution: Properties and Application to Count Data. https://doi.org/10.3390/mca27040062

Akses Cepat

PDF tidak tersedia langsung

Cek di sumber asli →

Lihat di Sumber doi.org/10.3390/mca27040062

Informasi Jurnal

Tahun Terbit: 2022
Sumber Database: DOAJ
DOI: 10.3390/mca27040062
Akses: Open Access ✓