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Papers by Raghunath Arnab

Research paper thumbnail of Post-stratification based on a choice of a randomization device

Statistica, Jun 30, 2014

In this paper, we use the idea of post-stratification based on the respondents' choice of a parti... more In this paper, we use the idea of post-stratification based on the respondents' choice of a particular randomization device in order to estimate the population proportion of a sensitive characteristic. The proposed idea gives full freedom to the respondents and is expected to result in greater cooperation from them as well as to provide some increase in the relative efficiency of the newly proposed estimator.

Research paper thumbnail of Tuning using multiauxiliary information

A New Concept for Tuning Design Weights in Survey Sampling, 2016

Research paper thumbnail of Tuning in stratified sampling

A New Concept for Tuning Design Weights in Survey Sampling, 2016

Research paper thumbnail of Tuning of jackknife estimator

A New Concept for Tuning Design Weights in Survey Sampling, 2016

Research paper thumbnail of Tuning of the Horvitz–Thompson estimator

A New Concept for Tuning Design Weights in Survey Sampling, 2016

Research paper thumbnail of Tuning of multicharacter survey estimators

A New Concept for Tuning Design Weights in Survey Sampling, 2016

Research paper thumbnail of Tuned estimators of correlation coefficient

A New Concept for Tuning Design Weights in Survey Sampling, 2016

Research paper thumbnail of Tuned estimators of finite population variance

A New Concept for Tuning Design Weights in Survey Sampling, 2016

Research paper thumbnail of Model assisted tuning of estimators

A New Concept for Tuning Design Weights in Survey Sampling, 2016

Research paper thumbnail of Preface☆☆“To view the full reference list for the book, click B978-0-08-100594-1.10000-2”

A New Concept for Tuning Design Weights in Survey Sampling, 2016

Research paper thumbnail of Randomized response techniques: A case study of the risky behaviors' of students of a certain University

Model Assisted Statistics and Applications, 2015

Research paper thumbnail of Some Strategies of Two-Stage Sampling for Estimating Population Ratios Over two Occasions

Australian Journal of Statistics, 1987

ABSTRACT summaryIn this paper strategies based on a two-stage successive sampling scheme are prop... more ABSTRACT summaryIn this paper strategies based on a two-stage successive sampling scheme are proposed for estimating the ratio of the population totals of two characters on the most recent occasion.It is found that the proposed strategies perform better than the standard ratio when used in estimating the ratio of farmers' income to non-farmers' income. But when applied to the estimation of ratio of girth to height of teak trees, a loss in efficiency is observed.

Research paper thumbnail of Variance Estimation from Complex Survey Designs: A Case Study of Household Income and Expenditure Survey Design 2002/03, Botswana

Http Dx Doi Org 10 1080 03610926 2012 731130, Dec 1, 2014

In large-scale surveys, it is common to use a multistage sampling design, where the first-stage u... more In large-scale surveys, it is common to use a multistage sampling design, where the first-stage units are selected with varying probability without replacement and the second-stage units are selected according to the systematic sampling procedure. It is however well known that this sampling design makes it impossible to find unbiased estimate of the variance of the estimate of the population total. In this paper, a few methods of variance estimation in multistage sampling involving systematic sampling design have been proposed to overcome the problem discussed. The proposed variance estimators are compared with the few conventional methods, for example, Random group, Jackknife, as well as the method used by the Central Statistical Office (CSO) using the live data based on Household Income and Expenditure Survey (HIES) 2002/03, Botswana, collected by CSO. It is found that all the proposed methods and Jackknife method perform better than the method used by CSO.

Research paper thumbnail of A new method for estimating variance from data imputed with ratio method of imputation

Statistics Probability Letters, Mar 1, 2006

In this paper, the problem of estimation of variance has been considered when the missing data ha... more In this paper, the problem of estimation of variance has been considered when the missing data have been imputed with the ratio method of imputation. Two alternative variance estimators have been proposed. Relative efficiencies of the proposed estimators have been compared with the existing alternative Jackknife estimator proposed by Variance estimation under two-phase sampling with application to imputation for missing data. Biometrika 82, 453-460] through empirical study. Empirical investigation shows that the proposed estimators fare better than the Variance estimation under two-phase sampling with application to imputation for missing data. Biometrika 82, 453-460] estimator. r

Research paper thumbnail of On non-negative variance-estimation

Metrika, 1981

... References Bandopadhyaya, S., AK Chattopadhyaya, and S. Kundu : On estimation of population t... more ... References Bandopadhyaya, S., AK Chattopadhyaya, and S. Kundu : On estimation of population total. Sankhys Ser. C 39, 1977, 28-42. ... 3, 1952, 99-107. Rao, JNK, and K. Vi]ayan: On estimating the variance in sampling with probability proportional to aggregate size. Jour. ...

Research paper thumbnail of On unbiased variance-estimation with various multi-stage sampling strategies

Sankhya, 1982

... Vl(bli) = 8U, Cx(bH, b,f) = 8tf). Page 9. 100 ARIJIT CHAUDHURI AND RAGHUNATH ARtfAB ... The a... more ... Vl(bli) = 8U, Cx(bH, b,f) = 8tf). Page 9. 100 ARIJIT CHAUDHURI AND RAGHUNATH ARtfAB ... The authors gratefully acknowledge several construc tive criticisms by Professor J. Roy that were helpful in preparing this paper. They also wish to thank Dr. Shibdas Bandyopadhyay ...

Research paper thumbnail of On estimation of population total using generalized regression predictor

The generalized regression predictor (greg) is used for the estimation of a finite population tot... more The generalized regression predictor (greg) is used for the estimation of a finite population total when the study variable is well related to the auxiliary variable. Chaudhuri and Roy (1997) provided the lower bound of the mean square error (mse) of variance estimators belonging to a class of nonhomogeneous quadratic unbiased estimators. They also found the optimum variance estimator whose mean square error attains the lower bound. In the present paper, we have shown that the derivation of the lower bound in Chaudhuri and Roy (1997)'s paper is incorrect and their proposed optimal estimator does not attain the lower bound as originally claimed. An example is also provided which contradict the result of Chaudhuri and Roy (1997). Model assisted higher order calibration approach has been proposed to investigate the variance of the regression predictor.

Research paper thumbnail of A bridge between the GREG and the Linear Regression Estimators

We discovered there is a choice of weights that builds a bridge between the GREG proposed by and ... more We discovered there is a choice of weights that builds a bridge between the GREG proposed by and the linear regression estimator due to while using one auxiliary variable. It gives the same result as given in Singh (2003, 2004, 2006a, 2006b) and for unequal probability sampling by using two calibration constraints in the presence of one auxiliary variable. Thus, these approaches can be considered as alternative to each other while considering use of one auxiliary variable. The bridge developed here reconfirms that the sum of the calibrated weights should be equal to the sum of the design weights in a given sample. The approach by Singh (

Research paper thumbnail of A Note on Multi-Character Surveys

Pakistan Journal of Statistics

The problems of estimating the population total in multi-character surveys in varying probability... more The problems of estimating the population total in multi-character surveys in varying probability sampling schemes when the measure of size is not well-related to the study variables have been considered by Rao (1966), Scott and Smith (1969) and Arnab (2001). In the present note, their results are extended for intra class correlation models and general sampling designs.

Research paper thumbnail of Randomized Response Techniques Using Maximum Likelihood Estimator

Communications in Statistics - Theory and Methods, 2015

Research paper thumbnail of Post-stratification based on a choice of a randomization device

Statistica, Jun 30, 2014

In this paper, we use the idea of post-stratification based on the respondents' choice of a parti... more In this paper, we use the idea of post-stratification based on the respondents' choice of a particular randomization device in order to estimate the population proportion of a sensitive characteristic. The proposed idea gives full freedom to the respondents and is expected to result in greater cooperation from them as well as to provide some increase in the relative efficiency of the newly proposed estimator.

Research paper thumbnail of Tuning using multiauxiliary information

A New Concept for Tuning Design Weights in Survey Sampling, 2016

Research paper thumbnail of Tuning in stratified sampling

A New Concept for Tuning Design Weights in Survey Sampling, 2016

Research paper thumbnail of Tuning of jackknife estimator

A New Concept for Tuning Design Weights in Survey Sampling, 2016

Research paper thumbnail of Tuning of the Horvitz–Thompson estimator

A New Concept for Tuning Design Weights in Survey Sampling, 2016

Research paper thumbnail of Tuning of multicharacter survey estimators

A New Concept for Tuning Design Weights in Survey Sampling, 2016

Research paper thumbnail of Tuned estimators of correlation coefficient

A New Concept for Tuning Design Weights in Survey Sampling, 2016

Research paper thumbnail of Tuned estimators of finite population variance

A New Concept for Tuning Design Weights in Survey Sampling, 2016

Research paper thumbnail of Model assisted tuning of estimators

A New Concept for Tuning Design Weights in Survey Sampling, 2016

Research paper thumbnail of Preface☆☆“To view the full reference list for the book, click B978-0-08-100594-1.10000-2”

A New Concept for Tuning Design Weights in Survey Sampling, 2016

Research paper thumbnail of Randomized response techniques: A case study of the risky behaviors' of students of a certain University

Model Assisted Statistics and Applications, 2015

Research paper thumbnail of Some Strategies of Two-Stage Sampling for Estimating Population Ratios Over two Occasions

Australian Journal of Statistics, 1987

ABSTRACT summaryIn this paper strategies based on a two-stage successive sampling scheme are prop... more ABSTRACT summaryIn this paper strategies based on a two-stage successive sampling scheme are proposed for estimating the ratio of the population totals of two characters on the most recent occasion.It is found that the proposed strategies perform better than the standard ratio when used in estimating the ratio of farmers' income to non-farmers' income. But when applied to the estimation of ratio of girth to height of teak trees, a loss in efficiency is observed.

Research paper thumbnail of Variance Estimation from Complex Survey Designs: A Case Study of Household Income and Expenditure Survey Design 2002/03, Botswana

Http Dx Doi Org 10 1080 03610926 2012 731130, Dec 1, 2014

In large-scale surveys, it is common to use a multistage sampling design, where the first-stage u... more In large-scale surveys, it is common to use a multistage sampling design, where the first-stage units are selected with varying probability without replacement and the second-stage units are selected according to the systematic sampling procedure. It is however well known that this sampling design makes it impossible to find unbiased estimate of the variance of the estimate of the population total. In this paper, a few methods of variance estimation in multistage sampling involving systematic sampling design have been proposed to overcome the problem discussed. The proposed variance estimators are compared with the few conventional methods, for example, Random group, Jackknife, as well as the method used by the Central Statistical Office (CSO) using the live data based on Household Income and Expenditure Survey (HIES) 2002/03, Botswana, collected by CSO. It is found that all the proposed methods and Jackknife method perform better than the method used by CSO.

Research paper thumbnail of A new method for estimating variance from data imputed with ratio method of imputation

Statistics Probability Letters, Mar 1, 2006

In this paper, the problem of estimation of variance has been considered when the missing data ha... more In this paper, the problem of estimation of variance has been considered when the missing data have been imputed with the ratio method of imputation. Two alternative variance estimators have been proposed. Relative efficiencies of the proposed estimators have been compared with the existing alternative Jackknife estimator proposed by Variance estimation under two-phase sampling with application to imputation for missing data. Biometrika 82, 453-460] through empirical study. Empirical investigation shows that the proposed estimators fare better than the Variance estimation under two-phase sampling with application to imputation for missing data. Biometrika 82, 453-460] estimator. r

Research paper thumbnail of On non-negative variance-estimation

Metrika, 1981

... References Bandopadhyaya, S., AK Chattopadhyaya, and S. Kundu : On estimation of population t... more ... References Bandopadhyaya, S., AK Chattopadhyaya, and S. Kundu : On estimation of population total. Sankhys Ser. C 39, 1977, 28-42. ... 3, 1952, 99-107. Rao, JNK, and K. Vi]ayan: On estimating the variance in sampling with probability proportional to aggregate size. Jour. ...

Research paper thumbnail of On unbiased variance-estimation with various multi-stage sampling strategies

Sankhya, 1982

... Vl(bli) = 8U, Cx(bH, b,f) = 8tf). Page 9. 100 ARIJIT CHAUDHURI AND RAGHUNATH ARtfAB ... The a... more ... Vl(bli) = 8U, Cx(bH, b,f) = 8tf). Page 9. 100 ARIJIT CHAUDHURI AND RAGHUNATH ARtfAB ... The authors gratefully acknowledge several construc tive criticisms by Professor J. Roy that were helpful in preparing this paper. They also wish to thank Dr. Shibdas Bandyopadhyay ...

Research paper thumbnail of On estimation of population total using generalized regression predictor

The generalized regression predictor (greg) is used for the estimation of a finite population tot... more The generalized regression predictor (greg) is used for the estimation of a finite population total when the study variable is well related to the auxiliary variable. Chaudhuri and Roy (1997) provided the lower bound of the mean square error (mse) of variance estimators belonging to a class of nonhomogeneous quadratic unbiased estimators. They also found the optimum variance estimator whose mean square error attains the lower bound. In the present paper, we have shown that the derivation of the lower bound in Chaudhuri and Roy (1997)'s paper is incorrect and their proposed optimal estimator does not attain the lower bound as originally claimed. An example is also provided which contradict the result of Chaudhuri and Roy (1997). Model assisted higher order calibration approach has been proposed to investigate the variance of the regression predictor.

Research paper thumbnail of A bridge between the GREG and the Linear Regression Estimators

We discovered there is a choice of weights that builds a bridge between the GREG proposed by and ... more We discovered there is a choice of weights that builds a bridge between the GREG proposed by and the linear regression estimator due to while using one auxiliary variable. It gives the same result as given in Singh (2003, 2004, 2006a, 2006b) and for unequal probability sampling by using two calibration constraints in the presence of one auxiliary variable. Thus, these approaches can be considered as alternative to each other while considering use of one auxiliary variable. The bridge developed here reconfirms that the sum of the calibrated weights should be equal to the sum of the design weights in a given sample. The approach by Singh (

Research paper thumbnail of A Note on Multi-Character Surveys

Pakistan Journal of Statistics

The problems of estimating the population total in multi-character surveys in varying probability... more The problems of estimating the population total in multi-character surveys in varying probability sampling schemes when the measure of size is not well-related to the study variables have been considered by Rao (1966), Scott and Smith (1969) and Arnab (2001). In the present note, their results are extended for intra class correlation models and general sampling designs.

Research paper thumbnail of Randomized Response Techniques Using Maximum Likelihood Estimator

Communications in Statistics - Theory and Methods, 2015