Estimation of the Mean of the Exponential Distribution Using Maximum Ranked Set Sampling with Unequal Samples
B. S. Biradar,C. D. Santosha +1 more
TLDR
In this paper, a maximum ranked set sampling procedure with unequal samples (MRSSU) is proposed and its properties are studied under exponential distribution under both perfect and imperfect ranking (with errors in ranking).Abstract:
In this paper maximum ranked set sampling procedure with unequal samples (MRSSU) is proposed. Maximum likelihood estimator and modified maximum likelihood estimator are obtained and their properties are studied under exponential distribution. These methods are studied under both perfect and imperfect ranking (with errors in ranking). These estimators are then compared with estimators based on simple random sampling (SRS) and ranked set sampling (RSS) procedures. It is shown that relative efficiencies of the estimators based on MRSSU are better than those of the estimator based on SRS. Simulation results show that efficiency of proposed estimator is better than estimator based on RSS under ranking error.read more
Citations
More filters
Journal ArticleDOI
Extropy information of maximum and minimum ranked set sampling with unequal samples
Guoxin Qiu,Abbas Eftekharian +1 more
TL;DR: Maximum ranked set sampling with unequal samples (MRS) as mentioned in this paper is a modification of the MRS procedure that allows for a larger number of unequal samples than the minimum sample set.
Journal ArticleDOI
Measures of information for maximum ranked set sampling with unequal samples
TL;DR: Information measures of MRSSU in terms of Shannon entropy, Rényi entropy and Kullback-Leibler (KL) information are considered to compare the uncertainty and information content of MR SSU with simple random sampling and ranked set sampling data.
Journal ArticleDOI
Cumulative Tsallis entropy for maximum ranked set sampling with unequal samples
TL;DR: Several results of Tsallis entropy are obtained including bounds, monotonic properties, stochastic orders, and sharp bounds under some assumptions of maximum ranked set sampling procedure with unequal samples.
Journal ArticleDOI
Bayesian Test for Lifetime Performance Index of Ailamujia Distribution Under Squared Error Loss Function
TL;DR: In this paper, a Bayesian test procedure is developed under squared error loss function to estimate the lifetime performance index of Ailamujia distribution, and an example is used to illustrate the effectiveness and feasibility of the method.
Journal ArticleDOI
Bayesian estimation of stress–strength reliability for two-parameter bathtub-shaped lifetime distribution based on maximum ranked set sampling with unequal samples
TL;DR: In this paper, Bayesian estimation and credible interval of stress strength reliability for two-parameter bathtub-shaped lifetime (TPBL) distribution are considered based on simple random sampling (SRS).
References
More filters
Book
Theory of point estimation
TL;DR: In this paper, the authors present an approach for estimating the average risk of a risk-optimal risk maximization algorithm for a set of risk-maximization objectives, including maximalaxity and admissibility.
Journal ArticleDOI
A method for unbiased selective sampling, using ranked sets
TL;DR: The application of the ranked sample method to pasture measurement is discussed and the means of such a sample is slightly less than (n + 1)/2 times more efficient than the mean of n items taken at random.
Journal ArticleDOI
On unbiased estimates of the population mean based on the sample stratified by means of ordering
Koiti Takahasi,Kazumasa Wakimoto +1 more
Journal ArticleDOI
Ranked Set Sampling Theory with Order Statistics Background
T. R. Dell,J. L. Clutter +1 more
TL;DR: In this article, the authors reviewed the importance of errors in judgment ordering in the ranked set sampling method and compared it to random sampling and the average of the mean of a set of elements.
Journal ArticleDOI
Estimating the Population Mean Using Extreme Ranked Set Sampling
TL;DR: In this article, the authors introduce a variety of extreme ranked set sample (ERSS s ) to estimate the population mean, which is more practical than the ordinary ranked set sampling, since in case of even sample size we need to identify successfully only the first and/or the last ordered unit or in case in odd sample size the median unit.
Related Papers (5)
Estimation of P(X < Y) using ranked set sampling for the Weibull distribution
Fatma Gül Akgül,Birdal Şenoğlu +1 more