The exponential distribution is applied in a very wide variety of statistical procedures.Among the most prominent applications are those in the field of life testing and reliability theory. When there are two record samples available for estimating the scale parameter, a preliminary test is usually used to determine whether to pool the samples or use the individual sample. In this paper, the preliminary test estimator and shrinkage estimator are studied. The optimum level of significance for preliminary test estimation and the optimum values of shrinkage coefficient are obtained based on minimax regret criterion under the weighted square error loss function.

<p>This paper studies shrinkage estimation after the preliminary test for the parameters of exponential distribution based on record values. The optimal value of shrinkage coefficients is also obtained based on the minimax regret criterion. The maximum likelihood, pre-test, and shrinkage estimators are compared using a simulation study. The results to estimate the scale parameter show that the optimal shrinkage estimator is better than the maximum likelihood estimator in all cases, and when the prior guess is near the true value, the pre-test estimator is better than shrinkage estimator. The results to estimate the location parameter show that the optimal shrinkage estimator is better than maximum likelihood estimator when a prior guess is close<br />to the true value. All estimators are illustrated by a numerical example.</p>

Background & Aim This study aimed to determine health status of Iranian transgender people who referred to Forensic Medicine Center in order to provide equal and accessible health services to transgender people. Materials and methods As part of this cross-sectional study, 200 transsexuals (106 transgender men/TM, 94 transgender women/TW) from Fars Province, Iran, completed a questionnaire including 24 items on socio-demography and health status in 2021. The data were analyzed using SPSS version 16, and also Chi-square test and Fisher's exact test were used for the data analysis. A p-value < 0.05 was considered statistically significant. Results The gender identity age distribution was significantly different between TW and TM (P = 0.004). Women were significantly more likely to engage in unprotected intercourse than men (p = 0.001), but perceived financial, medical, and social barriers were not significantly different between the two groups (P > 0.05). However, women reported more family obstacles than men (P = 0.006). Conclusion Both women and men have experienced equal financial, medical, and social challenges in the health system, but women face more constraints in their family lives.