Estimation of the Mean and Standard Deviation by Order Statistics

asymptotic property of order statistics and sample quntile

چکیده: فرض کنید که تابعی از اپسیلون یک مجموع نامتناهی از احتمالات موزون مربوط به مجموع های جزئی براساس یک دنباله از متغیرهای تصادفی مستقل و همتوزیع باشد، و همچنین فرض کنید توابعی مانند g و h وجود دارند که هرگاه امید ریاضی توان دوم x متناهی و امیدریاضی x صفر باشد، در این صورت می توان حد حاصلضرب این توابع را بصورت تابعی از امید ریاضی توان دوم x نوشت. حالت عکس نیز برقرار است. همچنین ما با استفاده...

Standard deviation and standard error of the mean

In most clinical and experimental studies, the standard deviation (SD) and the estimated standard error of the mean (SEM) are used to present the characteristics of sample data and to explain statistical analysis results. However, some authors occasionally muddle the distinctive usage between the SD and SEM in medical literature. Because the process of calculating the SD and SEM includes differ...

Revisiting the estimation of the mean using order statistics

E a b a We study in this paper the estimation of the mean using the order statistics of a sample of random variables. This kind of estimation has been done by Bovik for independent identically distributed variables. In this paper we extend this work to correlated variables. In particularly we extend this kind of estimator to a new estimator using simultaneously the variables and their order sta...

The Analysis of Iran Cotton Producers’ Risk Degree Based on Non-Linear Mean-Standard Deviation Model

As regards decreasing cotton cultivation in Iran during these years, the degree of risk taken by a cotton cultivator in the agricultural part is important. The studies showed that the cotton crop yield during the past years did not have enough growth and the cotton cost product in the period of study cotton production costs, has increased. In this paper, the risk orientation of cotton cultivato...

Statistics at square one. III--Standard deviation.