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  • Statistics In Transition

 

Article | 06-July-2017

A NEW FAMILY OF ESTIMATORS OF THE POPULATION VARIANCE USING INFORMATION ON POPULATION VARIANCE OF AUXILIARY VARIABLE IN SAMPLE SURVEYS

This paper proposes a family of estimators of population variance 2 y S of the study variable y in the presence of known population variance 2 x S of the auxiliary variable x. It is identified that in addition to many, the recently proposed classes of estimators due to Sharma and Singh (2014) and Singh and Pal (2016) are members of the proposed family of estimators. Asymptotic expressions of bias and mean squared error (MSE) of the suggested family of

Housila P. Singh, Surya K. Pal

Statistics in Transition New Series, Volume 17 , ISSUE 4, 605–630

Research Article | 18-March-2020

Estimation of finite population mean using two auxiliary variables under stratified random sampling

This paper addresses the problem of an alternative approach to estimating the population mean of the study variable with the help of the auxiliary variable under stratified random sampling. The properties of the suggested estimator have been studied under large sample approximation. It has been demonstrated that the suggested estimator is more efficient than other considered estimators. To judge the merits of the proposed estimator, an empirical study has been carried out to support the present

Rohini Yadav, Rajesh Tailor

Statistics in Transition New Series, Volume 21 , ISSUE 1, 1–12

Article | 15-March-2019

DEVELOPMENT OF CHAIN-TYPE EXPONENTIAL ESTIMATORS FOR POPULATION VARIANCE IN TWOPHASE SAMPLING DESIGN IN PRESENCE OF RANDOM NON-RESPONS

G. N. Singh, Amod Kumar, Gajendra K. Vishwakarma

Statistics in Transition New Series, Volume 19 , ISSUE 4, 575–596

Research Article | 13-December-2018

A MATHEMATICAL PROGRAMMING APPROACH FOR OBTAINING OPTIMUM STRATA BOUNDARIES USING TWO AUXILIARY VARIABLES UNDER PROPORTIONAL ALLOCATION

Optimum stratification is the method of choosing the best boundaries that make the strata internally homogenous. Many authors have attempted to determine the optimum strata boundaries (OSB) when a study variable is itself a stratification variable. However, in many practical situations fetching information regarding the study variable is either difficult or sometimes not available. In such situations we find help in the variable (s) closely related to the study variable. Using auxiliary

Faizan Danish

Statistics in Transition New Series, Volume 19 , ISSUE 3, 507–526

Research Article | 18-March-2020

Parametric prediction of finite population total under Informative sampling and nonignorable nonresponse

In this paper, we combine two methodologies used in the model-based survey sampling, namely the prediction of the finite population total, named T, under informative sampling and full response, see Sverchkov and Pfeffermann  (2004), and the prediction of T with a noninformative sampling design and the nonignorable nonresponse mechanism, see Eideh (2012). The former approach involves the dependence of the first order inclusion probabilities on the study variable, while the latter involves

Abdulhakeem Eideh

Statistics in Transition New Series, Volume 21 , ISSUE 1, 13–35

Article | 22-January-2018

A NEW ESTIMATOR OF MEAN USING DOUBLE SAMPLING

In this paper, we consider the problem of estimation of population mean of a study variable by making use of first-phase sample mean and first-phase sample median of the auxiliary variable at the estimation stage. The proposed new estimator of the population mean is compared to the sample mean estimator, ratio estimator and the difference type estimator for the fixed cost of the survey by using the concept of two-phase sampling. The magnitude of the relative efficiency of the proposed new

Kalyan Rao Vadlamudi, Stephen A. Sedory, Sarjinder Singh

Statistics in Transition New Series, Volume 18 , ISSUE 4, 637–650

Research Article | 08-December-2021

Approximately optimum strata boundaries for two concomitant stratification variables under proportional allocation

The proper choice of strata boundaries is an important factor determining the efficiency of the estimator of the considered characteristics of a population. In this article, the Cum3√Di(x,z) Rule (i=3,4) for obtaining approximately optimum strata boundaries has been applied, taking into account a single-study variable along with two concomitant variables serving as the basis of the stratification variables. The relative efficiency of the proposed methods has been demonstrated

Faizan Danish, S. E. H. Rizvi

Statistics in Transition New Series, Volume 22 , ISSUE 4, 19–40

Research Communicate | 18-March-2020

Generalized exponential estimators for the finite population mean

This study proposes a new class of exponential-type estimators in simple random sampling for the estimation of the population mean of the study variable using information of the population proportion possessing certain attributes. Theoretically, mean squared error (MSE) equations of the suggested ratio exponential estimators are obtained and compared with the Naik and Gupta (1996) ratio and product estimators, the ratio and product exponential estimator presented in Singh et al. (2007) and the

Tolga Zaman

Statistics in Transition New Series, Volume 21 , ISSUE 1, 159–168

Sampling Methods | 26-May-2018

IMPROVED ROTATION PATTERNS USING TWO AUXILIARY VARIABLES IN SUCCESSIVE SAMPLING

The present paper emphasizes the role of two auxiliary variables on both the occasions to improve the precision of estimates at the current (second) occasion in two-occasion successive sampling. Information on two auxiliary variables, which are positively correlated with the study variable, has been used with the aid of exponential type structures and an efficient estimation procedure of population mean on the current (second) occasion has been suggested. The behaviour of the proposed estimator

Jaishree Prabha Karna, Dilip Chandra Nath

Statistics in Transition New Series, Volume 19 , ISSUE 1, 25–44

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