Statistics

1004 Submissions

[7] viXra:1004.0076 [pdf] submitted on 8 Mar 2010

Improved Exponential Estimator for Population Variance Using Two Auxiliary Variables

Authors: Rajesh Singh, Pankaj Chauhan, Nirmala Sawan, Florentin Smarandache
Comments: 8 pages

In this paper exponential ratio and exponential product type estimators using two auxiliary variables are proposed for estimating unknown population variance Sy2. Problem is extended to the case of two-phase sampling. Theoretical results are supported by an empirical study.
Category: Statistics

[6] viXra:1004.0064 [pdf] submitted on 8 Mar 2010

Improvement in Estimating Population Mean using Two Auxiliary Variables in Two-Phase Sampling

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

This study proposes improved chain-ratio type estimator for estimating population mean using some known values of population parameter(s) of the second auxiliary character. The proposed estimators have been compared with two-phase ratio estimator and some other chain type estimators. The performances of the proposed estimators have been supposed with a numerical illustration.
Category: Statistics

[5] viXra:1004.0063 [pdf] submitted on 8 Mar 2010

Optimum Statistical Test Procedure

Authors: Rajesh Singh, Jayant Singh, Florentin Smarandache
Comments: 16 pages

Optimum Statistical Test Procedure
Category: Statistics

[4] viXra:1004.0062 [pdf] submitted on 8 Mar 2010

Ratio-Product Type Exponential Estimator For Estimating Finite Population Mean Using Information On Auxiliary Attribute

Authors: Rajesh Singh, Pankaj Chauhan, Nirmala Sawan, Florentin Smarandache
Comments: 15 pages

In practice, the information regarding the population proportion possessing certain attribute is easily available see Jhajj et.al. (2006). For estimating the population mean Y of the study variable y, following Bahl and Tuteja (1991), a ratio-product type exponential estimator has been proposed by using the known information of population proportion possessing an attribute (highly correlated with y) in simple random sampling. The expressions for the bias and the mean-squared error (MSE) of the estimator and its minimum value have been obtained. The proposed estimator has an improvement over mean per unit estimator, ratio and product type exponential estimators as well as Naik and Gupta (1996) estimators. The results have also been extended to the case of two phase sampling. The results obtained have been illustrated numerically by taking some empirical populations considered in the literature.
Category: Statistics

[3] viXra:1004.0061 [pdf] submitted on 8 Mar 2010

Almost Unbiased Exponential Estimator for the Finite Population Mean

Authors: Rajesh Singh, Pankaj Chauhan, Nirmala Sawan, Florentin Smarandache
Comments: 12 pages

In this paper we have proposed an almost unbiased ratio and product type exponential estimator for the finite population mean Y-bar. It has been shown that Bahl and Tuteja (1991) ratio and product type exponential estimators are particular members of the proposed estimator. Empirical study is carried to demonstrate the superiority of the proposed estimator.
Category: Statistics

[2] viXra:1004.0056 [pdf] submitted on 8 Mar 2010

Almost Unbiased Ratio and Product Type Estimator of Finite Population Variance Using the Knowledge of Kurtosis of an Auxiliary Variable in Sample Surveys

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

It is well recognized that the use of auxiliary information in sample survey design results in efficient estimators of population parameters under some realistic conditions. Out of many ratio, product and regression methods of estimation are good examples in this context. Using the knowledge of kurtosis of an auxiliary variable Upadhyaya and Singh (1999) has suggested an estimator for population variance. In this paper, following the approach of Singh and Singh (1993), we have suggested almost unbiased ratio and product-type estimators for population variance.
Category: Statistics

[1] viXra:1004.0054 [pdf] submitted on 8 Mar 2010

Alternatives To Pearson's and Spearman's Correlation Coefficients

Authors: Florentin Smarandache
Comments: 9 pages

This article presents several alternatives to Pearson's correlation coefficient and many examples. In the samples where the rank in a discrete variable counts more than the variable values, the mixture of Pearson's and Spearman's gives a better result.
Category: Statistics