{"language":[{"iso":"eng"}],"title":"Statistical Inference of Reliability Parameter for the Skew‐Normal Distribution under Progressive Type‐II Censored Samples","abstract":[{"text":"This study investigates the inference of the reliability parameter R = P[Y < X] for the skew-normal distribution based on progressively Type-II censored samples, where Y and X are two independent random variables. The maximum likelihood estimator and the asymptotic confidence interval for S = (2,2, …,2,5)1×20 are extracted via an iterative algorithm. Moreover, the Bayes estimator and the corresponding credible interval are computed using Gibbs sampling. Also, the MLE, UMVUE, Bayes estimator, and confidence interval are acquired when the scale parameter is known. We compare the performances of the different estimation methods using Monte Carlo simulations. Finally, the real datasets are analyzed for illustrative purposes.","lang":"eng"}],"_id":"5895","citation":{"ama":"Babayi S, Seidpisheh M, Gholami G. Statistical Inference of Reliability Parameter for the Skew‐Normal Distribution under Progressive Type‐II Censored Samples. <i>Journal of Mathematics</i>. 2022;2022(1). doi:<a href=\"https://doi.org/10.1155/2022/7173293\">10.1155/2022/7173293</a>","alphadin":"<span style=\"font-variant:small-caps;\">Babayi, Salman</span> ; <span style=\"font-variant:small-caps;\">Seidpisheh, Mohammad</span> ; <span style=\"font-variant:small-caps;\">Gholami, Gholamhossein</span>: Statistical Inference of Reliability Parameter for the Skew‐Normal Distribution under Progressive Type‐II Censored Samples. In: <i>Journal of Mathematics</i> Bd. 2022, Wiley (2022), Nr. 1","apa":"Babayi, S., Seidpisheh, M., &#38; Gholami, G. (2022). Statistical Inference of Reliability Parameter for the Skew‐Normal Distribution under Progressive Type‐II Censored Samples. <i>Journal of Mathematics</i>, <i>2022</i>(1). <a href=\"https://doi.org/10.1155/2022/7173293\">https://doi.org/10.1155/2022/7173293</a>","mla":"Babayi, Salman, et al. “Statistical Inference of Reliability Parameter for the Skew‐Normal Distribution under Progressive Type‐II Censored Samples.” <i>Journal of Mathematics</i>, vol. 2022, no. 1, Wiley, 2022, doi:<a href=\"https://doi.org/10.1155/2022/7173293\">10.1155/2022/7173293</a>.","ieee":"S. Babayi, M. Seidpisheh, and G. Gholami, “Statistical Inference of Reliability Parameter for the Skew‐Normal Distribution under Progressive Type‐II Censored Samples,” <i>Journal of Mathematics</i>, vol. 2022, no. 1, 2022.","chicago":"Babayi, Salman, Mohammad Seidpisheh, and Gholamhossein Gholami. “Statistical Inference of Reliability Parameter for the Skew‐Normal Distribution under Progressive Type‐II Censored Samples.” <i>Journal of Mathematics</i> 2022, no. 1 (2022). <a href=\"https://doi.org/10.1155/2022/7173293\">https://doi.org/10.1155/2022/7173293</a>.","short":"S. Babayi, M. Seidpisheh, G. Gholami, Journal of Mathematics 2022 (2022).","bibtex":"@article{Babayi_Seidpisheh_Gholami_2022, title={Statistical Inference of Reliability Parameter for the Skew‐Normal Distribution under Progressive Type‐II Censored Samples}, volume={2022}, DOI={<a href=\"https://doi.org/10.1155/2022/7173293\">10.1155/2022/7173293</a>}, number={1}, journal={Journal of Mathematics}, publisher={Wiley}, author={Babayi, Salman and Seidpisheh, Mohammad and Gholami, Gholamhossein}, year={2022} }"},"issue":"1","doi":"10.1155/2022/7173293","publication_status":"published","intvolume":"      2022","user_id":"220548","oa":"1","date_created":"2025-04-23T14:46:03Z","type":"journal_article","author":[{"first_name":"Salman","last_name":"Babayi","full_name":"Babayi, Salman"},{"last_name":"Seidpisheh","first_name":"Mohammad","orcid_put_code_url":"https://api.orcid.org/v2.0/0000-0002-2976-9206/work/182853327","full_name":"Seidpisheh, Mohammad","id":"258037","orcid":"0000-0002-2976-9206"},{"full_name":"Gholami, Gholamhossein","first_name":"Gholamhossein","last_name":"Gholami"}],"date_updated":"2025-04-24T15:33:25Z","publication_identifier":{"issn":["2314-4629"],"eissn":["2314-4785"]},"status":"public","publisher":"Wiley","publication":"Journal of Mathematics","volume":2022,"year":"2022","main_file_link":[{"open_access":"1"}]}