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Papers by Samindranath sengupta

Research paper thumbnail of . On comparison of Horvitz-Thompson and Murthy’s sampling strategies for estimating sensitive finite population totals under scrambled randomized response plans. Estadistica Espanola, Vol. 59, No. 193 (2017)

We consider the problem of unbiased estimation of a finite population total related to a sensitiv... more We consider the problem of unbiased estimation of a finite population total related to a sensitive quantitative variable under two scrambled randomized response plans and compare the relative efficiency of the unequal probability sampling strategies due to Horvitz–Thompson (1952) and Murthy (1957) under a super-population model depending on a parameter g. It is shown that for the linear plan the model expected variance is smaller for Murthy’s (1957) strategy if g ≤ 1, while for the multiplicative plan the model expected variance is smaller for the Horvitz-Thompson (1952) strategy if g ≥ 2. We also address the problem of unbiased estimation of the variances of these two sampling strategies under the two randomized response plans and study the non-negative property of the variance estimators.

Research paper thumbnail of Admissible unbiased estimation of finite population variance under a randomized response model, Commun.in Stat.-Theory & Methods (DOI10.1080/03610926.2017.1386311).

Research paper thumbnail of On the relative efficiency of Murthy’s sampling strategy under a super population model. Model Assisted Statistics and Applications, Vol. 11, Issue3 (2016), 231-234 (DOI DOI 10.3233/MAS-160365).

Research paper thumbnail of On the comparison of Warner’s and unrelated question randomized response plans for estimating sensitive finite population proportions. Commun. In Stat. - Theory & Methods (DOI 10.1080/03610926.2015.1044669).

Research paper thumbnail of Admissible and optimal estimation in finite population sampling under randomized response models. Handbook of Statistics, Vol. 34(DOI 10.1016/bs.host.2016.01.005).

Research paper thumbnail of On the comparison of Horvitz-Thompson and Murthy’s sampling strategies for estimating finite population proportions in direct and randomized response surveys. Commun. In Stat. - Theory & Methods, (DOI 10.1080/03610926.2015.1019149).

Research paper thumbnail of Admissible and optimal sampling strategy for estimating finite population mean in randomized response surveys with multiple responses. Commun. In Stat. - Theory & Methods, (DOI 10.1080/03610926.2014.957859).

Research paper thumbnail of Admissibility of a variance estimator in finite population sampling under Warner’s randomized response plan with multiple responses. Commun. In Stat. – Theory & Methods, (DOI 10.1080/03610926.2014.948208).

Research paper thumbnail of On comparisons of with and without replacement sampling strategies for estimating finite population mean in randomized response surveys. Sankhya, Ser. B, (DOI 10.1007/s13571-015-0107-1).

Research paper thumbnail of Bernoulli Sequential Estimation of the Size of a Finite Population

The problem considered is that of unbiased estimation of the size (N) of a finite closed populati... more The problem considered is that of unbiased estimation of the size (N) of a finite closed population under Capture-mark-Release-Recapture (CMRR) sequential sampling procedure. Borrowing ideas from the Bernoulli sequential estimation and using the notions of ''closed'' and ''pushed-up'' sampling plans, we provide here an unified approach to the problem of unbiased estimation of N and, in particular, give a necessary and sufficient condition for unbiased estimability under an arbitrary stopping rule. The ideas are illustrated with several examples.

Research paper thumbnail of Optimal Design Unbiased Strategy For Estimating Dichotomous Finite Population Variance Under Warner's Randomized Response Plan

Let P be the proportion of individuals in a finite population possessing a sensitive attribute. W... more Let P be the proportion of individuals in a finite population possessing a sensitive attribute. We consider the problem of estimation of the population variance P (1-P) under Warner's (1965) randomized response plan and prove the optimality of a sampling strategy in a class of comparable design unbiased strategies under a super-population model.

Research paper thumbnail of Comparisons of sampling strategies for estimating finite population proportions in direct and randomized response surveys under a super population model. Model Assisted Statistics and Applications, Vol. 10, No. 4 (2015), 385-390 (DOI 10.323/MAS-150340).

We consider the problem of unbiased estimation of a finite population proportion and compare the ... more We consider the problem of unbiased estimation of a finite population proportion and compare the unequal probability sampling strategies due to Hansen-Hurwitz [9], Horvitz-Thompson [12], Rao-Hartley-Cochran [18] and Midzuno-Sen [16, 20] under a super-population model. It is shown that the model expected variance is least for the Midzuno-Sen [16, 20] strategy both when these sampling strategies are based on data obtained from (i) a direct survey and (ii) a randomized response (RR) survey employing some RR technique following a general RR model.

Research paper thumbnail of On the estimation of size of a finite population

Sankhya

The problem considered is that of unbiased estimation of the size (N) of a finite closed populati... more The problem considered is that of unbiased estimation of the size (N) of a finite closed population under Capture-Mark-Release-Recapture(CMRR) sequential sampling procedure. The existing results are supplemented with various other results and the CMRR procedure is compared with the Negative Binomial and the Negative Hypergeometric sampling schemes in terms of the ASN and the variance of the UMVUE of the population size.

Research paper thumbnail of Construction of some non-invariant balanced sampling designs. Cal. Stat. Assoc. Bull., Vol. 31 (1982), 165-184

Research paper thumbnail of A note on PPS circular systematic sampling. Cal. Stat. Assoc. Bull., Vol. 37 (1988), 111-112

Research paper thumbnail of A comparison between PPSWR and Brewer’s PSWOR procedures. Cal. Stat. Assoc. Bull., Vol. 35 (1986), 207-220

Research paper thumbnail of A sampling scheme to realize inclusion probability exactly proportional to size. Jour. Ind. Soc. Agr. Stat., Vol. 33, No. 2 (1981), 19-23

Research paper thumbnail of On comparing a sampling strategy with Hansen-Hurwitz and Rao-Hartley-Cochran strategies

Research paper thumbnail of On the construction of non-invariant balanced sampling designs

Research paper thumbnail of On the admissibility of the symmetrized Des Raj estimator for ppswor samples of size two

Research paper thumbnail of . On comparison of Horvitz-Thompson and Murthy’s sampling strategies for estimating sensitive finite population totals under scrambled randomized response plans. Estadistica Espanola, Vol. 59, No. 193 (2017)

We consider the problem of unbiased estimation of a finite population total related to a sensitiv... more We consider the problem of unbiased estimation of a finite population total related to a sensitive quantitative variable under two scrambled randomized response plans and compare the relative efficiency of the unequal probability sampling strategies due to Horvitz–Thompson (1952) and Murthy (1957) under a super-population model depending on a parameter g. It is shown that for the linear plan the model expected variance is smaller for Murthy’s (1957) strategy if g ≤ 1, while for the multiplicative plan the model expected variance is smaller for the Horvitz-Thompson (1952) strategy if g ≥ 2. We also address the problem of unbiased estimation of the variances of these two sampling strategies under the two randomized response plans and study the non-negative property of the variance estimators.

Research paper thumbnail of Admissible unbiased estimation of finite population variance under a randomized response model, Commun.in Stat.-Theory & Methods (DOI10.1080/03610926.2017.1386311).

Research paper thumbnail of On the relative efficiency of Murthy’s sampling strategy under a super population model. Model Assisted Statistics and Applications, Vol. 11, Issue3 (2016), 231-234 (DOI DOI 10.3233/MAS-160365).

Research paper thumbnail of On the comparison of Warner’s and unrelated question randomized response plans for estimating sensitive finite population proportions. Commun. In Stat. - Theory & Methods (DOI 10.1080/03610926.2015.1044669).

Research paper thumbnail of Admissible and optimal estimation in finite population sampling under randomized response models. Handbook of Statistics, Vol. 34(DOI 10.1016/bs.host.2016.01.005).

Research paper thumbnail of On the comparison of Horvitz-Thompson and Murthy’s sampling strategies for estimating finite population proportions in direct and randomized response surveys. Commun. In Stat. - Theory & Methods, (DOI 10.1080/03610926.2015.1019149).

Research paper thumbnail of Admissible and optimal sampling strategy for estimating finite population mean in randomized response surveys with multiple responses. Commun. In Stat. - Theory & Methods, (DOI 10.1080/03610926.2014.957859).

Research paper thumbnail of Admissibility of a variance estimator in finite population sampling under Warner’s randomized response plan with multiple responses. Commun. In Stat. – Theory & Methods, (DOI 10.1080/03610926.2014.948208).

Research paper thumbnail of On comparisons of with and without replacement sampling strategies for estimating finite population mean in randomized response surveys. Sankhya, Ser. B, (DOI 10.1007/s13571-015-0107-1).

Research paper thumbnail of Bernoulli Sequential Estimation of the Size of a Finite Population

The problem considered is that of unbiased estimation of the size (N) of a finite closed populati... more The problem considered is that of unbiased estimation of the size (N) of a finite closed population under Capture-mark-Release-Recapture (CMRR) sequential sampling procedure. Borrowing ideas from the Bernoulli sequential estimation and using the notions of ''closed'' and ''pushed-up'' sampling plans, we provide here an unified approach to the problem of unbiased estimation of N and, in particular, give a necessary and sufficient condition for unbiased estimability under an arbitrary stopping rule. The ideas are illustrated with several examples.

Research paper thumbnail of Optimal Design Unbiased Strategy For Estimating Dichotomous Finite Population Variance Under Warner's Randomized Response Plan

Let P be the proportion of individuals in a finite population possessing a sensitive attribute. W... more Let P be the proportion of individuals in a finite population possessing a sensitive attribute. We consider the problem of estimation of the population variance P (1-P) under Warner's (1965) randomized response plan and prove the optimality of a sampling strategy in a class of comparable design unbiased strategies under a super-population model.

Research paper thumbnail of Comparisons of sampling strategies for estimating finite population proportions in direct and randomized response surveys under a super population model. Model Assisted Statistics and Applications, Vol. 10, No. 4 (2015), 385-390 (DOI 10.323/MAS-150340).

We consider the problem of unbiased estimation of a finite population proportion and compare the ... more We consider the problem of unbiased estimation of a finite population proportion and compare the unequal probability sampling strategies due to Hansen-Hurwitz [9], Horvitz-Thompson [12], Rao-Hartley-Cochran [18] and Midzuno-Sen [16, 20] under a super-population model. It is shown that the model expected variance is least for the Midzuno-Sen [16, 20] strategy both when these sampling strategies are based on data obtained from (i) a direct survey and (ii) a randomized response (RR) survey employing some RR technique following a general RR model.

Research paper thumbnail of On the estimation of size of a finite population

Sankhya

The problem considered is that of unbiased estimation of the size (N) of a finite closed populati... more The problem considered is that of unbiased estimation of the size (N) of a finite closed population under Capture-Mark-Release-Recapture(CMRR) sequential sampling procedure. The existing results are supplemented with various other results and the CMRR procedure is compared with the Negative Binomial and the Negative Hypergeometric sampling schemes in terms of the ASN and the variance of the UMVUE of the population size.

Research paper thumbnail of Construction of some non-invariant balanced sampling designs. Cal. Stat. Assoc. Bull., Vol. 31 (1982), 165-184

Research paper thumbnail of A note on PPS circular systematic sampling. Cal. Stat. Assoc. Bull., Vol. 37 (1988), 111-112

Research paper thumbnail of A comparison between PPSWR and Brewer’s PSWOR procedures. Cal. Stat. Assoc. Bull., Vol. 35 (1986), 207-220

Research paper thumbnail of A sampling scheme to realize inclusion probability exactly proportional to size. Jour. Ind. Soc. Agr. Stat., Vol. 33, No. 2 (1981), 19-23

Research paper thumbnail of On comparing a sampling strategy with Hansen-Hurwitz and Rao-Hartley-Cochran strategies

Research paper thumbnail of On the construction of non-invariant balanced sampling designs

Research paper thumbnail of On the admissibility of the symmetrized Des Raj estimator for ppswor samples of size two

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