Modelling Climate, COVID-19, and Reliability Data: A New Continuous Lifetime Model under Different Methods of Estimation
- Title
- Modelling Climate, COVID-19, and Reliability Data: A New Continuous Lifetime Model under Different Methods of Estimation
- Creator
- Pandey A.; Singh R.P.; Tyagi S.; Tyagi A.
- Description
- In this article, a new continuous probability distribution called Arvind distribution is developed and studied. The proposed distribution has only one parameter but it exhibits a wide variety of shapes for density and hazard rate functions. A number of important distributional properties including mode, quantile function, moments, skewness, kurtosis, mean deviation, probability-weighted moments, stress-strength reliability, order statistics, reliability and hazard rate functions, Bonferroni Lorenz and Zenga curves, conditional moments, mean residual and mean past life functions, and stochastic ordering of the Arvind distribution are derived. For point estimation of the parameter of the proposed distribution, six estimation procedures including maximum likelihood, maximum product spacings, least squares, weighted least squares, Cram-von Mises, and Anderson-Darling estimators are used. The interval estimation of the unknown parameter has also been discussed using observed Fishers information. A vast simulation study has been conducted to examine the behaviour of different estimation procedures. Finally, the applicability of the proposed model is demonstrated by using three real-life datasets. The results of the real data analysis clearly announce that the Arvind distribution can be a better alternative to several existing models for modelling different types of data from various fields. 2024, Society of Statistics, Computer and Applications. All rights reserved.
- Source
- Statistics and Applications, Vol-22, No. 2, pp. 1-27.
- Date
- 2024-01-01
- Publisher
- Society of Statistics, Computer and Applications
- Subject
- Arvind distribution; Least squares estimation; Maximum likelihood estimation; Maximum product spac-ings; Stress strength reliability
- Coverage
- Pandey A., Department of Statistics, Central University of Rajasthan, Rajasthan, 305817, India; Singh R.P., Department of Statistics, Central University of Rajasthan, Rajasthan, 305817, India; Tyagi S., Department of Statistics and Data Science, Christ deemed to be University, Bangalore, 560073, India; Tyagi A., Department of Statistics, Chaudhary Charan Singh University, Meerut, 250004, India
- Rights
- Restricted Access
- Relation
- ISSN: 24547395
- Format
- Online
- Language
- English
- Type
- Article
Collection
Citation
Pandey A.; Singh R.P.; Tyagi S.; Tyagi A., “Modelling Climate, COVID-19, and Reliability Data: A New Continuous Lifetime Model under Different Methods of Estimation,” CHRIST (Deemed To Be University) Institutional Repository, accessed February 24, 2025, https://archives.christuniversity.in/items/show/13462.