Extreme Value Charts and Anom Based on Inverse Rayleigh Distribution
نویسندگان
چکیده
A measurable quality characteristic is assumed to follow Inverse Rayleigh distribution. Variable control charts based on the extreme values of each subgroup are constructed. The technique of analysis of means (ANOM) is adopted to work out the decision lines of Inverse Rayleigh distribution. The preferability of the proposed ANOM decision lines over that of Ott (1967) [11] is illustrated by some examples.
منابع مشابه
E-Bayesian Approach in A Shrinkage Estimation of Parameter of Inverse Rayleigh Distribution under General Entropy Loss Function
Whenever approximate and initial information about the unknown parameter of a distribution is available, the shrinkage estimation method can be used to estimate it. In this paper, first the $ E $-Bayesian estimation of the parameter of inverse Rayleigh distribution under the general entropy loss function is obtained. Then, the shrinkage estimate of the inverse Rayleigh distribution parameter i...
متن کاملRecurrence Relations for Moment Generating Functions of Generalized Order Statistics Based on Doubly Truncated Class of Distributions
In this paper, we derived recurrence relations for joint moment generating functions of nonadjacent generalized order statistics (GOS) of random samples drawn from doubly truncated class of continuous distributions. Recurrence relations for joint moments of nonadjacent GOS (ordinary order statistics (OOS) and k-upper records (k-RVs) as special cases) are obtained. Single and product moment gene...
متن کاملEstimation for the Type-II Extreme Value Distribution Based on Progressive Type-II Censoring
In this paper, we discuss the statistical inference on the unknown parameters and reliability function of type-II extreme value (EVII) distribution when the observed data are progressively type-II censored. By applying EM algorithm, we obtain maximum likelihood estimates (MLEs). We also suggest approximate maximum likelihood estimators (AMLEs), which have explicit expressions. We provide Bayes ...
متن کاملClassic and Bayes Shrinkage Estimation in Rayleigh Distribution Using a Point Guess Based on Censored Data
Introduction In classical methods of statistics, the parameter of interest is estimated based on a random sample using natural estimators such as maximum likelihood or unbiased estimators (sample information). In practice, the researcher has a prior information about the parameter in the form of a point guess value. Information in the guess value is called as nonsample information. Thomp...
متن کامل