On the Kavya–Manoharan–Burr X Model: Estimations under Ranked Set Sampling and Applications
نویسندگان
چکیده
A new two-parameter model is proposed using the Kavya–Manoharan (KM) transformation family and Burr X (BX) distribution. The called Kavya–Manoharan–Burr (KMBX) model. statistical properties are obtained, involving quantile (QU) function, moment (MOs), incomplete MOs, conditional MO-generating entropy. Based on simple random sampling (SiRS) ranked set (RaSS), parameters estimated via maximum likelihood (MLL) method. simulation experiment used to compare these estimators based bias (BI), mean square error (MSER), efficiency. estimates conducted RaSS tend be more efficient than SiRS. importance applicability of KMBX demonstrated three different data sets. Some useful actuarial risk measures, such as value at risk, discussed.
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ژورنال
عنوان ژورنال: Journal of risk and financial management
سال: 2022
ISSN: ['1911-8074', '1911-8066']
DOI: https://doi.org/10.3390/jrfm16010019