TY - JOUR JF - JSS JO - JSS VL - 11 IS - 2 PY - 2018 Y1 - 2018/3/01 TI - Estimation of Probability Density and Cumulative Distribution Functions of Beta Weibull Geometric Distribution TT - برآورد تابع‌های چگالی احتمال و توزیع تجمعی توزیع بتا وایبول هندسی N2 - In this paper, the maximum liklihood estimation, unbiased estimations with minimum variance, percentile estimation, best percentile estimation single-observation estimation and the best percentile estimation two-observations in class which are based on order statistics are calculated in two sections for probability density and cumulative distribution functions of the beta Weibull geometric distribution, specially with bathtub-shaped and unimodal failure rate which are useful for modeling of data related to reliability and lifetime. Furthermore, through the simulation method of Monte Carlo and calculation of average square of errors of estimators, they are subjected to comparisons ultimately, the desirable estimator in each section is determined. SP - 357 EP - 379 AU - Yaghoobzadeh, Shahram AD - Department of Statistics, Payame Noor University, Tehran, Iran. KW - Beta Weibull Geometric Distribution KW - Percentile Estimation KW - Best Single-Observation Percentile Estimation KW - Best Two-Observation Percentile Estimation KW - Monte Carlo Simulation UR - http://jss.irstat.ir/article-1-429-en.html DO - 10.29252/jss.11.2.357 ER -