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A size-biased Ishita distribution and application to real data
- Source :
- Quality & Quantity. 53:493-512
- Publication Year :
- 2018
- Publisher :
- Springer Science and Business Media LLC, 2018.
-
Abstract
- The present paper offers a new extension to the Ishita distribution called Size-Biased Ishia distribution (SBID). Various structural statistical properties of this distribution are derived such as the jth moment, moment generating function, the coefficients of variation, skewness and kurtosis. Also, the distribution of order statistics, harmonic mean, mode, reliability analysis, maximum likelihood estimation are provided, as well as the Fisher’s information, generalized and Renyi entropies are derived. The main advantage of using sized-based distributions appears when the sample are recorded with unequal probabilities. Accordingly, the superiority of the SBI distribution is illustrated to ball bearings data. It is shown that the SBID is the most appropriate model for this data set as compared to Rama distribution, Ishita distribution and Marshall–Olkin Esscher Transformed Laplace distribution. We believe that the SBID is an alternative distribution to lifetime data analysis.
- Subjects :
- Statistics and Probability
Distribution (number theory)
Hazard rate function
020209 energy
05 social sciences
Order statistic
Mode (statistics)
050401 social sciences methods
General Social Sciences
02 engineering and technology
Generalized and Renyi entropie
Moment-generating function
Social Sciences (all)
Laplace distribution
Ishita distribution
Data set
Moment (mathematics)
Reliability function
0504 sociology
0202 electrical engineering, electronic engineering, information engineering
Kurtosis
Applied mathematics
Size-biased Garima distribution
Mathematics
Subjects
Details
- ISSN :
- 15737845 and 00335177
- Volume :
- 53
- Database :
- OpenAIRE
- Journal :
- Quality & Quantity
- Accession number :
- edsair.doi.dedup.....728a4bf0d61c9c0704e68cf184faa9ad