Statistics

1003 Submissions

[10] viXra:1003.0183 [pdf] submitted on 6 Mar 2010

A Note On Testing Of Hypothesis

Authors: Rajesh Singh, Jayant Singh, Florentin Smarandache
Comments: 5 pages

In this paper problem of testing of hypothesis is discussed when the samples have been drawn from normal distribution. The study of hypothesis testing is also extended to Baye's set up.
Category: Statistics

[9] viXra:1003.0172 [pdf] submitted on 6 Mar 2010

A General Family of Estimators for Estimating Population Mean Using Known Value of Some Population Parameter(s)

Authors: M. Khoshnevisan, Rajesh Singh, Pankaj Chauhan, Nirmala Sawan, Florentin Smarandache
Comments: 11 pages

A general family of estimators for estimating the population mean of the variable under study, which make use of known value of certain population parameter(s), is proposed. Under Simple Random Sampling Without Replacement (SRSWOR) scheme, the expressions of bias and mean-squared error (MSE) up to first order of approximation are derived. Some well known estimators have been shown as particular member of this family. An empirical study is carried out to illustrate the performance of the constructed estimator over others.
Category: Statistics

[8] viXra:1003.0137 [pdf] submitted on 6 Mar 2010

Empirical Study in Finite Correlation Coefficient in Two Phase Estimation

Authors: M. Khoshnevisan, F. Kaymram, Housila P. Singh, Rajesh Singh, Florentin Smarandache
Comments: 10 pages

This paper proposes a class of estimators for population correlation coefficient when information about the population mean and population variance of one of the variables is not avaliable but information about these parameters of another variable (auxiliary) is avaliable, in two phase sampling and analyzes its properties. Optimum estimator in the class is identified with its variance formula. The estimators of the class involve unknown constants whose optimum values depend on unknown population parameters.Following Singh (1982) and Srivastava and Jhajj (1983), it has been shown that when these population parameters are replaced by their consistent estimates the resulting class of estimators has the same asymptotic variance as that of optimum estimator. An empirical study is carried out to demonstrate the performance of the constructed estimators.
Category: Statistics

[7] viXra:1003.0136 [pdf] submitted on 6 Mar 2010

Econometric Analysis on Efficiency of Estimator

Authors: M. Khoshnevisan, F. Kaymram, Housila P. Singh, Rajesh Singh, Florentin Smarandache
Comments: 11 pages

This paper investigates the efficiency of an alternative to ratio estimator under the super population model with uncorrelated errors and a gammadistributed auxiliary variable. Comparisons with usual ratio and unbiased estimators are also made.
Category: Statistics

[6] viXra:1003.0130 [pdf] submitted on 6 Mar 2010

A Family of Estimators of Population Mean Using Multiauxiliary Information in Presence of Measurement Errors

Authors: Jack Allen, Housila P. Singh, Florentin Smarandache
Comments: 16 pages

This paper proposes a family of estimators of population mean using information on several auxiliary variables and analyzes its properties in the presence of measurement errors.
Category: Statistics

[5] viXra:1003.0128 [pdf] submitted on 6 Mar 2010

Estimation of Weibull Shape Parameter by Shrinkage Towards an Interval Under Failure Censored Sampling

Authors: Housila P. Singh, Sharad Saxena, Jack Allen, Sarjinder Singh, Florentin Smarandache
Comments: 20 pages

This paper is speculated to propose a class of shrinkage estimators for shape parameter β in failure censored samples from two-parameter Weibull distribution when some 'apriori' or guessed interval containing the parameter β is available in addition to sample information and analyses their properties. Some estimators are generated from the proposed class and compared with the minimum mean squared error (MMSE) estimator. Numerical computations in terms of percent relative efficiency and absolute relative bias indicate that certain of these estimators substantially improve the MMSE estimator in some guessed interval of the parameter space of β, especially for censored samples with small sizes. Subsequently, a modified class of shrinkage estimators is proposed with its properties.
Category: Statistics

[4] viXra:1003.0113 [pdf] submitted on 6 Mar 2010

Improvement in Estimating the Population Mean Using Exponential Estimator in Simple Random Sampling

Authors: Rajesh Singh, Pankaj Chauhan, Nirmala Sawan, Florentin Smarandache
Comments: 6 pages

This study proposes some exponential ratio-type estimators for estimating the population mean of the variable under study ... (see paper for full abstract)
Category: Statistics

[3] viXra:1003.0109 [pdf] submitted on 6 Mar 2010

A General Class of Estimators of Population Median Using Two Auxiliary Variables in Double Sampling

Authors: Jack Allen, Housila P. Singh, Sarjinder Singh, Florentin Smarandache
Comments: 21 pages

In this paper we have suggested two classes of estimators for population median MY of the study character Y using information on two auxiliary characters X and Z in double sampling. It has been shown that the suggested classes of estimators are more efficient than the one suggested by Singh et al (2001). Estimators based on estimated optimum values have been also considered with their properties. The optimum values of the first phase and second phase sample sizes are also obtained for the fixed cost of survey.
Category: Statistics

[2] viXra:1003.0092 [pdf] submitted on 6 Mar 2010

Auxiliary Information and a Priori Values in Construction of Improved Estimators

Authors: Rajesh Singh, Pankaj Chauhan, Nirmala Sawan, Florentin Smarandache
Comments: 75 pages

This volume is a collection of six papers on the use of auxiliary information and a priori values in construction of improved estimators. The work included here will be of immense application for researchers and students who employ auxiliary information in any form.
Category: Statistics

[1] viXra:1003.0091 [pdf] submitted on 6 Mar 2010

Ratio Estimators in Simple Random Sampling Using Information on Auxiliary Attribute

Authors: Rajesh Singh, Pankaj Chauhan, Nirmala Sawan, Florentin Smarandache
Comments: 7 pages

Some ratio estimators for estimating the population mean of the variable under study, which make use of information regarding the population proportion possessing certain attribute, are proposed. Under simple random sampling without replacement (SRSWOR) scheme, the expressions of bias and mean-squared error (MSE) up to the first order of approximation are derived. The results obtained have been illustrated numerically by taking some empirical population considered in the literature.
Category: Statistics