59
Views
88
CrossRef citations to date
0
Altmetric
Original Articles

The pitman nearness criterion and its determination

, &
Pages 3173-3191 | Received 01 Dec 1985, Published online: 27 Jun 2007

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (42)

Jibo Wu. (2017) The small sample properties of the restricted principal component regression estimator in linear regression model. Communications in Statistics - Theory and Methods 46:4, pages 1661-1667.
Read now
Hongbing Qiu, Ji Luo & Shurong Zheng. (2014) On Bayes Linear Unbiased Estimator Under the Balanced Loss Function. Communications in Statistics - Theory and Methods 43:24, pages 5175-5194.
Read now
Laisheng Wei. (2014) A Summary of Some Research on PC and Bayesian PC Criterion in China. Communications in Statistics - Theory and Methods 43:18, pages 3866-3892.
Read now
Elham Mirfarah & Jafar Ahmadi. (2014) Closeness of k-records to Progressive Type-II Censored Order Statistics for Location-scale Families. Communications in Statistics - Theory and Methods 43:10-12, pages 2169-2182.
Read now
Liqing Yan. (2007) A Note on Comparison of (Non) Linear Estimators Using Pitman's Measure of Closeness. Communications in Statistics - Theory and Methods 36:15, pages 2687-2694.
Read now
Laisheng Wei & Weiping Zhang. (2007) The Superiorities of Bayes Linear Minimum Risk Estimation in Linear Model. Communications in Statistics - Theory and Methods 36:5, pages 917-926.
Read now
Jyh-jiuan Lin & Nabendu Pal. (2005) Comparison of normal variance estimators under multiple criteria and towards a compromise estimator. Journal of Statistical Computation and Simulation 75:8, pages 645-665.
Read now
Ming Lin & Laisheng Wei. (2002) THE SMALL SAMPLE PROPERTIES OF THE PRINCIPAL COMPONENTS ESTIMATOR FOR REGRESSION COEFFICIENTS. Communications in Statistics - Theory and Methods 31:2, pages 271-283.
Read now
Nabendu. Pal & Wooi K.. Lom. (1999) Shrinkage estimation of a correlation coefficient and two examples with real life data-sets. Journal of Statistical Computation and Simulation 62:4, pages 357-373.
Read now
David C. Hamilton & Mary L. Lesperance. (1997) A comparison of estimators of the proportion nonconforming in univariate and multivariate normal samples. Journal of Statistical Computation and Simulation 59:4, pages 333-348.
Read now
Tran Van Hoa & Anoop Chaturvedi. (1997) Performance of the 2SHI estimator under the generalised pitman nearness criterion. Communications in Statistics - Theory and Methods 26:5, pages 1227-1238.
Read now
DavidC. Hamilton & MaryL. Lesperance. (1995) A Comparison of Methods for Univariate and Multivariate Acceptance Sampling by Variables. Technometrics 37:3, pages 329-339.
Read now
Neeraj Misra, Rajesh Anand & Harshinder Singh. (1994) Estimation of the largest location parameter of exponential distributions. Communications in Statistics - Theory and Methods 23:10, pages 2865-2880.
Read now
ChristianP. Robert, J. T. Gene Hwang & WilliamE. Strawderman. (1993) Is Pitman Closeness a Reasonable Criterion?. Journal of the American Statistical Association 88:421, pages 57-63.
Read now
Harshinder Singh, Rameshwar D. Gupta & Neeraj Nisra. (1993) Estimation of parameters of an exponential distribution when the parameter space is restricted with an application to two-sample problem. Communications in Statistics - Theory and Methods 22:2, pages 461-477.
Read now
Rameshwar D. Gupta & Ravindra Khattree. (1993) A comparison of some estimators of the variance covariance matrix when the population mean is known. Statistics 24:4, pages 331-345.
Read now
Ravindra Khattree. (1992) Comparing Estimators for Population Variance Using Pitman Nearness. The American Statistician 46:3, pages 214-217.
Read now
ThomasA. Severini. (1991) A Comparison of the Maximum Likelihood Estimator and the Posterior Mean in the Single-Parameter Case. Journal of the American Statistical Association 86:416, pages 997-1000.
Read now
Jerome P. Keating. (1991) Karlin's corollary: a topological approach to pitman's measure. Communications in Statistics - Theory and Methods 20:11, pages 3729-3750.
Read now
Gauri Sankar Datta. (1991) Pitman closeness for hierarchical bayes predictors in mixed linear models. Communications in Statistics - Theory and Methods 20:11, pages 3713-3727.
Read now
Sudip Bose. (1991) some properties of posterior pitman closeness. Communications in Statistics - Theory and Methods 20:11, pages 3697-3712.
Read now
Malay Ghosh & Sen Pranab Kumar. (1991) Bayesian pitman closeness. Communications in Statistics - Theory and Methods 20:11, pages 3659-3678.
Read now
A. K. Md. Ehsanes Saleh & P. K. Sen. (1991) Pitman-closeness of some preliminary test and shrinkage estimators. Communications in Statistics - Theory and Methods 20:11, pages 3643-3657.
Read now
Michael D. Conerly & J. Michael Hardin. (1991) Shrunken estimators via a pitman nearness criterion. Communications in Statistics - Theory and Methods 20:11, pages 3591-3604.
Read now
Alessandro Bertuzzi & Alberto Gandolfi. (1991) Ridge regression versus ols by pitman's closeness under quadratic and fisher's loss. Communications in Statistics - Theory and Methods 20:11, pages 3581-3590.
Read now
Pranab K. Sen & Debapriya Sengupta. (1991) On characterizations of pitman closeness of some shrinkage estimators. Communications in Statistics - Theory and Methods 20:11, pages 3551-3580.
Read now
Robert L. Fountain. (1991) Pitman closeness comparison of linear estimators:a canonical form. Communications in Statistics - Theory and Methods 20:11, pages 3535-3550.
Read now
Shyamal Das Peddada & Ravindra Khattree. (1991) Comparison of estimators of the location parameter using pitman's closeness criterion. Communications in Statistics - Theory and Methods 20:11, pages 3525-3534.
Read now
Tatsuya Kubokawa. (1991) Equivariant estimation under the pitman closeness criterion. Communications in Statistics - Theory and Methods 20:11, pages 3499-3523.
Read now
Sanat K. Sarkar. (1991) On estimating the common mean of several normal populations under the pitman closeness criterion. Communications in Statistics - Theory and Methods 20:11, pages 3487-3498.
Read now
Pranab Kumar Sen, Tapan K. Nayak & Ravindra Khattree. (1991) Comparison of estimators of a dispersion matrix under generalized pitman nearness criterion. Communications in Statistics - Theory and Methods 20:11, pages 3473-3486.
Read now
RobertL. Mason, JeromeP. Keating, PranabK. Sen & NeilW. Blaylock$suffix/text()$suffix/text(). (1990) Comparison of Linear Estimators Using Pitman's Measure of Closeness. Journal of the American Statistical Association 85:410, pages 579-581.
Read now
Dipak K. Dey & Pei-San Liao Liu. (1990) Estimation of parameters and reliability from generalized life models. Communications in Statistics - Theory and Methods 19:3, pages 1073-1099.
Read now
Stephen M. Scariano & Terry A. Watkins. (1990) Comparisons of changepoint estimators. Communications in Statistics - Simulation and Computation 19:2, pages 619-636.
Read now
Michael D. Conerly & J.Michael Hardin. (1990) A comparison of biased regression estimators using a pitman nearness criterion. Journal of Statistical Computation and Simulation 34:2-3, pages 75-95.
Read now
Malay Ghosh & Pranab Kumar Sen. (1989) Median Unbiasedness and Pitman Closeness. Journal of the American Statistical Association 84:408, pages 1089-1091.
Read now
Jerome P. Keating & Veronica czitrom. (1989) A Comparison of james–sten regression with least squares in the pitman nearness sense. Journal of Statistical Computation and Simulation 34:1, pages 1-9.
Read now
DominicF. Vecchia, HariK. Iyer & PhillipL. Chapman. (1989) Calibration With Randomly Changing Standard Curves. Technometrics 31:1, pages 83-90.
Read now
S.D. Peddada, A.K. Nigam & A.K. Saxena. (1989) On the inadmssibelity of ridge estimator in a linear model. Communications in Statistics - Theory and Methods 18:10, pages 3571-3585.
Read now
JeromeP. Keating & RobertL. Mason. (1988) James-Stein Estimation from an Alternative Perspective. The American Statistician 42:2, pages 160-164.
Read now
Carl M.S. Lee & Shyamal Das Peddada. (1987) Comparison of some common ratio estimators using pitman measure of nearness. Communications in Statistics - Theory and Methods 16:7, pages 2017-2027.
Read now
Ravindra Khattree & D.S. Gill. (1987) Estimation of signal to noise ratio using mahalanobis distance. Communications in Statistics - Theory and Methods 16:3, pages 897-907.
Read now

Articles from other publishers (46)

Feng Qian, Rong Chen & Ling Wang. (2023) Generalized ridge shrinkage estimation in restricted linear model. Computational Statistics 39:3, pages 1403-1416.
Crossref
Naresh Garg & Neeraj Misra. (2023) A unified study for estimation of order restricted parameters of a general bivariate model under the generalized Pitman nearness criterion. Statistical Papers.
Crossref
Isiaka Oloyede. (2022) Bayesian Linear Restricted Least Squares Estimators. Journal of the Indian Society for Probability and Statistics 24:1, pages 65-74.
Crossref
Yuanhan Li, Jerome P. Keating & Narayanaswamy Balakrishnan. (2021) PMC Theorems on PCR–Ridge Class Estimators. Journal of Statistical Theory and Practice 15:1.
Crossref
Hanlin Yin, X. Rong Li & Jian Lan. (2018) Pairwise Comparison Based Ranking Vector Approach to Estimation Performance Ranking. IEEE Transactions on Systems, Man, and Cybernetics: Systems 48:6, pages 942-953.
Crossref
文倩 康. (2017) Four Methods for Estimating Unknown Parameters in Panel Model. Statistics and Application 06:01, pages 92-97.
Crossref
Jafar Ahmadi, Elham Mirfarah & Ahmad Parsian. (2015) Robust Bayesian Pitman closeness. Metrika 79:6, pages 671-691.
Crossref
Jibo Wu & Hu Yang. (2014) More on the unbiased ridge regression estimation. Statistical Papers 57:1, pages 31-42.
Crossref
Yuan-Tsung Chang & Nobuo Shinozaki. (2014) Estimation of two ordered normal means under modified Pitman nearness criterion. Annals of the Institute of Statistical Mathematics 67:5, pages 863-883.
Crossref
Kai Xu & Dao Jiang He. (2015) The superiority of bayes estimators in a multivariate linear model with respect to normal-inverse Wishart prior. Acta Mathematica Sinica, English Series 31:6, pages 1003-1014.
Crossref
Elham Mirfarah & Jafar Ahmadi. (2014) Pitman closeness of $$k$$ k -records from two sequences to progressive Type-II censored order statistics. Computational Statistics 29:5, pages 1279-1300.
Crossref
Tie Feng Ma & Shuangzhe Liu. (2013) Pitman closeness of the class of isotonic estimators for ordered scale parameters of two Gamma distributions. Statistical Papers 55:3, pages 615-625.
Crossref
Anoop Chaturvedi & Suchita Kesarwani. (2012) Estimation of a subset of regression coefficients of interest in a model with non-spherical disturbances. Journal of Systems Science and Complexity 26:2, pages 209-231.
Crossref
R. W. Barnard & P. Hadjicostas. (2012) Banks’ criterion and symmetric stable laws with index of stability between one-half and one. Mathematical Methods of Statistics 21:4, pages 251-282.
Crossref
Haojin Zhou & Tapan K. Nayak. (2012) Pitman closest equivariant estimators and predictors under location–scale models. Journal of Statistical Planning and Inference 142:6, pages 1367-1377.
Crossref
Wei-ping Zhang, Lai-sheng Wei & Yu Chen. (2012) The superiorities of bayes linear unbiased estimator in multivariate linear models. Acta Mathematicae Applicatae Sinica, English Series 28:2, pages 383-394.
Crossref
Weiping Zhang, Laisheng Wei & Yu Chen. (2011) The superiorities of Bayes linear unbiased estimation in partitioned linear model. Journal of Systems Science and Complexity 24:5, pages 945-954.
Crossref
M. Revan Özkale & Selahattin Kaçıranlar. (2006) Comparisons of the r − k class estimator to the ordinary least squares estimator under the Pitman’s closeness criterion. Statistical Papers 49:3, pages 503-512.
Crossref
Akio Namba & Kazuhiro Ohtani. (2007) Risk comparison of the Stein-rule estimator in a linear regression model with omitted relevant regressors and multivariatet errors under the Pitman nearness criterion. Statistical Papers 48:1, pages 151-162.
Crossref
R. L. Mason, J. P. Keating & R. L. Fountain. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online.
R. L. Mason, J. P. Keating & R. L. Fountain. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
Li-chun Wang. (2005) Empirical Bayes Estimation in Regression Model. Acta Mathematicae Applicatae Sinica, English Series 21:4, pages 537-544.
Crossref
Tran Van Hoa & Anoop Chaturvedi. 2005. WTO and World Trade. WTO and World Trade 267 274 .
Anoop Chaturvedi & Shalabh. (2004) Risk and Pitman closeness properties of feasible generalized double k-class estimators in linear regression models with non-spherical disturbances under balanced loss function. Journal of Multivariate Analysis 90:2, pages 229-256.
Crossref
R. L. Mason, J. P. Keating & R. L. Fountain. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
Nabendu Pal & Wooi K. Lim. (2004) On intra-class correlation coefficient estimation. Statistical Papers 45:3, pages 369-392.
Crossref
Ananda Sen & Ravindra Khattree. (1998) On estimating the current intensity of failure for the power-law process. Journal of Statistical Planning and Inference 74:2, pages 253-272.
Crossref
Nabendu Pal & Wooi K. Lim. (1998) On the coefficient of multiple determination in a linear regression model. Journal of the Italian Statistical Society 7:2, pages 129-157.
Crossref
Sudip Bose. (1998) On the transitivity of the posterior Pitman closeness criterion. Journal of Statistical Planning and Inference 69:2, pages 263-274.
Crossref
C. R. Rao, V. K. Srivastava & H. Toutenburg. (1998) Pitman nearness comparisons of Stein-type estimators for regression coefficients in replicated experiments. Statistical Papers 39:1, pages 61-74.
Crossref
Neeraj Misra & Edward C. van der Meulen. (1997) On estimation of the common mean of k (⩾ 2) normal populations with order restricted variances. Statistics & Probability Letters 36:3, pages 261-267.
Crossref
Simo Puntanen & George P.H. Styan. (1996) A brief biography and appreciation of Calyampudi Radhakrishna Rao, with a bibliography of his books and papers. Linear Algebra and its Applications 237-238, pages 1-40.
Crossref
Stavros Kourouklis. (1995) Estimating powers of the scale parameter of an exponential distribution with unknown location under Pitman's measure of closeness. Journal of Statistical Planning and Inference 48:2, pages 185-195.
Crossref
S. Kourouklis. (2008) Estimation of an exponential quantile under pitman's measure of closeness. Canadian Journal of Statistics 23:3, pages 257-268.
Crossref
Robert L. Fountain & Jerome P. Keating. (1994) The Pitman comparison of unbiased linear estimators. Statistics & Probability Letters 19:2, pages 131-136.
Crossref
A.K. Srivastava & V.K. Srivastava. (1993) Pitman closeness for Stein-rule estimators of regression coefficients. Statistics & Probability Letters 18:2, pages 85-89.
Crossref
Rameshwar D. Gupta & Harshinder Singh. (2008) PITMAN NEARNESS COMPARISONS OF ESTIMATES OF TWO ORDERED NORMAL MEANS. Australian Journal of Statistics 34:3, pages 407-414.
Crossref
T.P. Tripathi & Ravindra Khattree. (1992) Estimation of a parameter using Pitman nearness criterion. Journal of Statistical Planning and Inference 32:3, pages 281-289.
Crossref
Ravindra Khattree. (2008) ESTIMATION OF GUARANTEE TIME AND MEAN LIFE AFTER WARRANTY FOR TWO‐PARAMETER EXPONENTIAL FAILURE MODEL. Australian Journal of Statistics 34:2, pages 207-215.
Crossref
Jerome P. Keating, Robert L. Mason, P.K. Sen & C.Radhakrishna Rao. (1991) Pitman nearness in statistical estimation. Computational Statistics & Data Analysis 12:1, pages 1-17.
Crossref
Tatsuya Kubokawa. (2008) Estimating powers of the generalized variance under the Pitman closeness criterion. Canadian Journal of Statistics 18:1, pages 59-62.
Crossref
Tapan K. Nayak. (1990) Estimation of location and scale parameters using generalized Pitman nearness criterion. Journal of Statistical Planning and Inference 24:2, pages 259-268.
Crossref
Carl M.-S. Lee. (1990) On the characterization of Pitman measure of nearness. Statistics & Probability Letters 9:1, pages 41-46.
Crossref
Tatsuya Kubokawa. (1989) Closer estimators of a common mean in the sense of Pitman. Annals of the Institute of Statistical Mathematics 41:3, pages 477-484.
Crossref
Paul T. Boggs, Clifford H. Spiegelman, Janet R. Donaldson & Robert B. Schnabel. (1988) A computational examination of orthogonal distance regression. Journal of Econometrics 38:1-2, pages 169-201.
Crossref
Ravindra Khattree & Shyamal Das Peddada. (1987) A short note on pitman nearness for elliptically symmetric estimators. Journal of Statistical Planning and Inference 16, pages 257-260.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.