Statistics Articles

 

Rajesh Singh, Mukesh Kumar, Sachin Malik, Manoj K. Chaudhary, Florentin Smarandache: A Family of Estimators for Estimating The Population Mean in Stratified Sampling. Published in: Rajesh Singh, F. Smarandache (Editors) STUDIES IN SAMPLING TECHNIQUES AND TIME SERIES ANALYSIS, Zip Publishing, Columbus, USA, 2011, ISBN 978-1-59973-159-9, pp. 55 - 62.

Mohammad Khoshnevisan, Housila P. Singh, Florentin Smarandache: A Family of Estimators of Population Mean Using Multiauxiliary Information in Presence of Measurement Errors. Published in: M. Khoshnevisan, S. Saxena, H. P. Singh, S. Singh, F. Smarandache (Editors) RANDOMNESS AND OPTIMAL ESTIMATION IN DATA SAMPLING (second edition), American Research Press, Rehoboth, USA, 2002, ISBN: 1-931233-68-3, pp. 44 – 61.

Rajesh Singh, Mukesh Kumar, Ashish K. Singh, Florentin Smarandache: A Family of Estimators of Population Variance Using Information on Auxiliary Attribute. Published in: Rajesh Singh, F. Smarandache (Editors) STUDIES IN SAMPLING TECHNIQUES AND TIME SERIES ANALYSIS Zip Publishing, Columbus, USA, 2011, ISBN: 978-1-59973-159-9, pp. 63 – 70.

Hemant K. Verma, Rajesh Singh, Florentin Smarandache: A Family of Median Based Estimators in Simple Random Sampling. Published in: Rajesh Singh, Florentin Smarandache (Editors) THE EFFICIENT USE OF SUPPLEMENTARY INFORMATION IN FINITE POPULATION SAMPLING, Educational Publisher, Columbus, USA, 2014, ISBN: 978-1-59973-275-6, pp. 42 – 51.

Mohammad Khoshnevisan, Housila P. Singh, Sarjinder Singh, Florentin Smarandache: A General Class of Estimators of Population Median Using Two Auxiliary Variables in Double Sampling. Published in: M. Khoshnevisan, S. Saxena, H. P. Singh, S. Singh, F. Smarandache (Editors) RANDOMNESS AND OPTIMAL ESTIMATION IN DATA SAMPLING (second edition), American Research Press, Rehoboth, USA, 2002, ISBN: 1-931233-68-3, pp. 26 – 43.

Rajesh Singh, Pankaj Chauhan, Nirmala Sawan, Florentin Smarandache: A General Family of Estimators for Estimating Population Variance Using Known Value of Some Population Parameter(s). Published in: Rajesh Singh, Pankaj Chauhan, Nirmala Sawan, Florentin Smarandache (Editors) AUXILIARY INFORMATION AND A PRIORI VALUES IN CONSTRUCTION OF IMPROVED ESTIMATORS, Renaissance High Press, Ann Arbor, USA, 2007, (ISBN-10): 1-59973-046-4, (ISBN-13): 978-1-59973-046-2, pp. 65 – 73.

Sachin Malik, Rajesh Singh, Florentin Smarandache: A Generalized Family of Estimators for Estimating Population Mean Using Two Auxiliary Attributes. Published in: Rajesh Singh, F. Smarandache (Editors) SAMPLING STRATEGIES FOR FINITE POPULATION USING AUXILIARY INFORMATION, The Educational Publisher, Columbus, USA, 2015, ISBN 978-1-59973-348-7, pp. 9 – 20.

Sachin Malik, Rajesh Singh, Florentin Smarandache: A General Procedure of Estimating Population Mean Using Information on Auxiliary Attribute. Published in: Rajesh Singh, F. Smarandache (Editors) SAMPLING STRATEGIES FOR FINITE POPULATION USING AUXILIARY INFORMATION, The Educational Publisher, Columbus, USA, 2015, ISBN 978-1-59973-348-7, pp. 21 – 30.

Rajesh Singh, Pankaj Chauhan, Nirmala Sawan, Florentin Smarandache: Almost Unbiased Exponential Estimator for the Finite Population Mean. Published in: Rajesh Singh, Pankaj Chauhan, Nirmala Sawan, Florentin Smarandache (Editors), AUXILIARY INFORMATION AND A PRIORI VALUES IN CONSTRUCTION OF IMPROVED ESTIMATORS, Renaissance High Press, Ann Arbor, USA, 2007, (ISBN-10): 1-59973-046-4, (ISBN-13): 978-1-59973-046-2, pp. 41 – 53.

Rajesh Singh, Pankaj Chauhan, Nirmala Sawan, Florentin Smarandache: Almost Unbiased Ratio and Product Type Estimator of Finite PopulationVariance Using the Knowledge of Kurtosis of an Auxiliary Variable in Sample Surveys. Published in: Rajesh Singh, Pankaj Chauhan, Nirmala Sawan, Florentin Smarandache (Editors) AUXILIARY INFORMATION AND A PRIORI VALUES IN CONSTRUCTION OF IMPROVED ESTIMATORS, Renaissance High Press, Ann Arbor, USA, 2007, (ISBN-10): 1-59973-046-4, (ISBN-13): 978-1-59973-046-2, pp. 54 - 64.

Rajesh Singh, Sachin Malik, Florentin Smarandache: An Improved Suggestion in Stratified Random Sampling Using Two Auxiliary Variables. Published in: Sachin Malik, Neeraj Kumar, Florentin Smarandache (Editors), USES OF SAMPLING TECHNIQUES & INVENTORY CONTROL WITH CAPACITY CONSTRAINTS, Pons Editions, Brussels, Belgium, 2016, ISBN 978-1-59973-484-2, pp. 9 – 18.

Rajesh Singh, Jayant Singh, Florentin Smarandache: A Note on Testing of Hypothesis. Published in: Rajesh Singh, Jayant Singh, F. Smarandache (Editors), STUDIES IN STATISTICAL INFERENCE, SAMPLING TECHNIQUES AND DEMOGRAPHY , InfoLearnQuest, Ann Arbor, USA, 2009, (ISBN-10): 1-59973-087-1, (ISBN-13): 978-1-59973-087-5, pp. 21 – 25.

M. Khoshnevisan, Sukanto Bhattacharya, Florentin Smarandache:  A Proposed Artificial Neural Network Classifier to Identify Tumor Metastases Part I. Published in: M. Khoshnevisan, S. Bhattacharya, F. Smarandache (Editors), ARTIFICIAL INTELLIGENCE AND RESPONSIVE OPTIMIZATION (second edition), Xiquan, Phoenix, USA, 2003, ISBN: 1-931233-77-2, pp. 51 – 64.

Hemant K. Verma, Rajesh Singh, Florentin Smarandache: Difference-Type Estimators for Estimation of Mean in The Presence of Measurement Error. Published in: Rajesh Singh, Florentin Smarandache (Editors), THE EFFICIENT USE OF SUPPLEMENTARY INFORMATION IN FINITE POPULATION SAMPLING, Educational Publisher, Columbus, USA, 2014, ISBN: 978-1-59973-275-6, pp. 52 – 71.

M. Khoshnevisan, F. Kaymram, Housila P. Singh, Rajesh Singh, F. Smarandache: Econometric Analysis on Efficiency of Estimator. Published in: Florentin Smarandache, Mohammad Khoshnevisan, Sukanto Bhattacharya (Editors), COMPUTATIONAL MODELING IN APPLIED PROBLEMS: COLLECTED PAPERS ON ECONOMETRICS, OPERATIONS RESEARCH, GAME THEORY AND SIMULATION, Hexis, Phoenix, USA, 2006, ISBN: 1-59973-008-1, pp. 5 – 22.

Sukanto Bhattacharya, F. Smarandache: Effective Number of Parties in A Multi-Party Democracy Under an Entropic Political Equilibrium withFloating Voters. Published in: Florentin Smarandache, Mohammad Khoshnevisan, Sukanto Bhattacharya (Editors), COMPUTATIONAL MODELING IN APPLIED PROBLEMS: COLLECTED PAPERS ON ECONOMETRICS, OPERATIONS RESEARCH, GAME THEORY AND SIMULATION, Hexis, Phoenix, USA, 2006, ISBN: 1-59973-008-1, pp. 62 – 72.

M. Khoshnevisan, F. Kaymarm, H. P. Singh, R. Singh, F. Smarandache: Empirical Study in Finite Correlation Coefficient in Two Phase Estimation. Published in: Florentin Smarandache, Mohammad Khoshnevisan, Sukanto Bhattacharya (Editors), COMPUTATIONAL MODELING IN APPLIED PROBLEMS: COLLECTED PAPERS ON ECONOMETRICS, OPERATIONS RESEARCH, GAME THEORY AND SIMULATION, Hexis, Phoenix, USA, 2006, ISBN: 1-59973-008-1, pp. 23 – 37.

Manoj Kr. Chaudhary, V. K. Singh, Rajesh Singh, Florentin Smarandache: Estimating the Population Mean in Stratified Population using Auxiliary Information under Non-Response. Published in: Rajesh Singh, F. Smarandache (Editors), STUDIES IN SAMPLING TECHNIQUES AND TIME SERIES ANALYSIS, Zip Publishing, Columbus, USA, 2011, ISBN 978-1-59973-159-9, pp. 24 – 39.

Housila P. Singh, Sharad Saxena, Mohammad Khoshnevisan, Sarjinder Singh, Florentin Smarandache:  Estimation of Weibull Shape Parameter by Shrinkage Towards An Interval Under Failure Censored  Sampling. Published in: M. Khoshnevisan, S. Saxena, H. P. Singh, S. Singh, F. Smarandache (Editors), RANDOMNESS AND OPTIMAL ESTIMATION IN DATA SAMPLING (second edition), American Research Press, Rehoboth, USA, 2002, ISBN: 1-931233-68-3, pp. 5 – 25.

Rajesh Singh, Prayas Sharma, Florentin Smarandache:  Exponential Ratio-Product Type Estimators Under Second Order  Approximation In Stratified Random Sampling. Published in: Rajesh Singh, Florentin Smarandache (Editors), THE EFFICIENT USE OF SUPPLEMENTARY INFORMATION IN FINITE POPULATION SAMPLING, Educational Publisher, Columbus, USA, 2014, ISBN: 978-1-59973-275-6, pp. 18 – 27.

M. Khoshnevisan, Sukanto Bhattacharya, Florentin Smarandache: Fuzzy and Neutrosophic Systems and Time Allocation of Money. Published in: M. Khoshnevisan, S. Bhattacharya, F. Smarandache (Editors), ARTIFICIAL INTELLIGENCE AND RESPONSIVE OPTIMIZATION (second edition), Xiquan, Phoenix, USA, 2003, ISBN: 1-931233-77-2, pp. 5 – 23.

S. Bhattacharya, S. Malakar, Florentin Smarandache:  How Extreme Events Can Affect a Seemingly Stabilized Population: a Stochastic Rendition of Ricker’s Model. Published in: Florentin Smarandache, Mohammad Khoshnevisan, Sukanto Bhattacharya (Editors), COMPUTATIONAL MODELING IN APPLIED PROBLEMS: COLLECTED PAPERS ON ECONOMETRICS, OPERATIONS RESEARCH, GAME THEORY AND SIMULATION, Hexis, Phoenix, USA, 2006, ISBN: 1-59973-008-1, pp. 87 – 93.

Rajesh Singh, Pankaj Chauhan, Nirmala Sawan, Florentin Smarandache:  Improved Exponential Estimator for  Population Variance Using Two Auxiliary Variables. Published in: Rajesh Singh, Jayant Singh, F. Smarandache (Editors), STUDIES IN STATISTICAL INFERENCE  SAMPLING  ECHNIQUES AND DEMOGRAPHY, InfoLearnQuest, Ann Arbor, USA, 2009, (ISBN-10): 1-59973-087-1, (ISBN-13): 978-1-59973-087-5, pp. 36 - 44.

Olufadi Yunusa, Rajesh Singh, Florentin Smarandache: Improvement in Estimating The Population Mean Using Dual To Ratio-Cum-Product Estimator in Simple Random Sampling. Published in: Rajesh Singh, Florentin Smarandache (Editors), ON IMPROVEMENT IN ESTIMATING POPULATION PARAMETER(S) USING AUXILIARY INFORMATION,  Educational Publishing (Columbus) & Journal of Matter Regularity (Beijing),USA - China, 2013, ISBN: 978-1-59973-230-5, pp. 42 – 53.

Rajesh Singh, Pankaj Chauhan, Nirmala Sawan, Florentin Smarandache: Improvement in Estimating Population Mean using Two Auxiliary Variables in Two-Phase Sampling. Published in: Rajesh Singh, Jayant Singh, F. Smarandache (Editors), STUDIES IN STATISTICAL INFERENCE, SAMPLING TECHNIQUES AND DEMOGRAPHY, InfoLearnQuest, Ann Arbor, USA, 2009, (ISBN-10): 1-59973-087-1, (ISBN-13): 978-1-59973-087-5, pp. 26 – 35.

Rajesh Singh, Pankaj Chauhan, Nirmala Sawan, Florentin Smarandache: Improvement in Estimating the Population Mean Using Exponential Estimator in Simple Random Sampling. Published in: Rajesh Singh, Pankaj Chauhan, Nirmala Sawan, Florentin Smarandache (Editors), AUXILIARY INFORMATION AND A PRIORI VALUES IN CONSTRUCTION OF IMPROVED ESTIMATORS, Renaissance High Press, Ann Arbor, USA, 2007, (ISBN-10): 1-59973-046-4, (ISBN-13): 978-1-59973-046-2, pp. 33 – 40.

Sukanto Bhattacharya, Florentin Smarandache, M. Khoshnevisan: MASS – Modified Assignment Algorithm in Facilities Layout Planning. Published in: Florentin Smarandache, Mohammad Khoshnevisan, Sukanto Bhattacharya (Editors), COMPUTATIONAL MODELING IN APPLIED PROBLEMS: COLLECTED PAPERS ON ECONOMETRICS, OPERATIONS RESEARCH, GAME THEORY AND SIMULATION, Hexis, Phoenix, USA, 2006, ISBN: 1-59973-008-1, pp. 38 – 50.

M. Khoshnevisan, Florentin Smarandache, Sukanto Bhattacharya:  Neutrosophical Computational Exploration of Investor Utilities Underlying a Portfolio Insurance Strategy. Published in: M. Khoshnevisan, S. Bhattacharya, F. Smarandache (Editors), ARTIFICIAL INTELLIGENCE AND RESPONSIVE OPTIMIZATION, (second edition), Xiquan, Phoenix, USA, 2003, ISBN: 1-931233-77-2, pp. 24 – 50.

Manoj Kr. Chaudhary, V. K. Singh, Rajesh Singh, Florentin Smarandache: On Some New Allocation Schemes in Stratified Random Sampling under Non-Response. Published in: Rajesh Singh, F. Smarandache (Editors), STUDIES IN SAMPLING TECHNIQUES AND TIME SERIES ANALYSIS, Zip Publishing, Columbus, USA, 2011, ISBN 978-1-59973-159-9, pp. 40 – 54.

Rajesh Singh, Jayant Singh, Florentin Smarandache: Optimum Statistical Test Procedure. Published in: Rajesh Singh, Jayant Singh, F. Smarandache (Editors), STUDIES IN STATISTICAL INFERENCE, SAMPLING TECHNIQUES AND DEMOGRAPHY, InfoLearnQuest, Ann Arbor, USA, 2009, (ISBN-10): 1-59973-087-1, (ISBN-13): 978-1-59973-087-5, pp. 5 – 20.

Jose L. Salmeron, Florentin Smarandache:  Processing Uncertainty and Indeterminacy in Information Systems Projects Success Mapping. Published in: Florentin Smarandache, Mohammad Khoshnevisan, Sukanto Bhattacharya (Editors), COMPUTATIONAL MODELING IN APPLIED PROBLEMS: COLLECTED PAPERS ON ECONOMETRICS, OPERATIONS RESEARCH, GAME THEORY AND SIMULATION, Hexis, Phoenix, USA, 2006, ISBN: 1-59973-008-1, pp. 94 – 107.

Rajesh Singh, Pankaj Chauhan, Nirmala Sawan, Florentin Smarandache:  Ratio Estimators in Simple Random Sampling Using Information on Auxiliary Attribute. Published in: Rajesh Singh, Pankaj Chauhan, Nirmala Sawan, Florentin Smarandache (Editors), AUXILIARY INFORMATION AND A PRIORI VALUES IN CONSTRUCTION OF IMPROVED ESTIMATORS, Renaissance High Press, Ann Arbor, USA, 2007, (ISBN-10): 1-59973-046-4, (ISBN-13): 978-1-59973-046-2, pp. 7 – 17.

Rajesh Singh, Pankaj Chauhan, Nirmala Sawan, Florentin Smarandache:  Ratio-Product Type Exponential Estimator for Estimating Finite Population Mean Using Information on Auxiliary Attribute. Published in: Rajesh Singh, Pankaj Chauhan, Nirmala Sawan, Florentin Smarandache (Editors), AUXILIARY INFORMATION AND A PRIORI VALUES IN CONSTRUCTION OF IMPROVED ESTIMATORS, Renaissance High Press, Ann Arbor, USA, 2007, (ISBN-10): 1-59973-046-4, (ISBN-13): 978-1-59973-046-2, pp. 18 – 32.

Viplav Kumar Singh, Rajesh Singh, Florentin Smarandache:  Some Improved Estimators for Population Variance Using Two Auxiliary Variables in Double Sampling. Published in: Rajesh Singh, Florentin Smarandache (Editors), ON IMPROVEMENT IN ESTIMATING POPULATION PARAMETER(S)USING AUXILIARY INFORMATION, Educational Publishing (Columbus) & Journal of Matter Regularity (Beijing), USA - China, 2013, ISBN: 978-1-59973-230-5, pp. 54 – 64.

Hemant Verma, Rajesh Singh, Florentin Smarandache:  Some Improved Estimators of Population Mean Using Information on Two Auxiliary Attributes. Published in: Rajesh Singh, Florentin Smarandache (Editors), ON IMPROVEMENT IN ESTIMATING POPULATION PARAMETER(S) USING AUXILIARY INFORMATION, Educational Publishing (Columbus) & Journal of Matter Regularity (Beijing), USA - China, 2013, ISBN: 978-1-59973-230-5, pp. 17 – 24.

Rajesh Singh, Sachin Malik, Florentin Smarandache:  Some Ratio and Product Estimators Using Known Value of Population Parameters. Published in: Sachin Malik, Neeraj Kumar, Florentin Smarandache (Editors), USES OF SAMPLING TECHNIQUES & INVENTORY CONTROL WITH CAPACITY CONSTRAINTS, Pons Editions, Brussels, Belgium, 2016, ISBN 978-1-59973-484-2, pp. 19 – 29.

Jayant Singh and Hansraj Yadav, Rajesh Singh, Florentin Smarandache:  Structural Dynamics of Various Causes of Migration in Jaipur. Published in: Rajesh Singh, Jayant Singh, F. Smarandache (Editors), STUDIES IN STATISTICAL INFERENCE, SAMPLING TECHNIQUES AND DEMOGRAPHY InfoLearnQuest, Ann Arbor, USA, 2009, (ISBN-10): 1-59973-087-1, (ISBN-13): 978-1-59973-087-5, pp. 45 – 62.

Prayas Sharma, Rajesh Singh, Florentin Smarandache:  Study of Some Improved Ratio Type Estimators Under Second Order Approximation. Published in: Rajesh Singh, Florentin Smarandache (Editors), ON IMPROVEMENT IN ESTIMATING POPULATION PARAMETER(S) USING AUXILIARY INFORMATION, Educational Publishing (Columbus) & Journal of Matter Regularity (Beijing), USA - China, 2013, ISBN: 978-1-59973-230-5, pp. 25 – 41.

Sukanto Bhattacharya, Florentin Smarandache, Mohammad Khoshnevisan: The Israel-Palestine Question – A Case for Application of Neutrosophic  Game Theory. Published in: Florentin Smarandache, Mohammad Khoshnevisan, Sukanto Bhattacharya (Editors), COMPUTATIONAL MODELING IN APPLIED PROBLEMS: COLLECTED PAPERS ON ECONOMETRICS, OPERATIONS RESEARCH, GAME THEORY AND SIMULATION,  Hexis, Phoenix, USA, 2006, ISBN: 1-59973-008-1, pp. 51 – 61.

Rajesh Singh, Shweta Maurya, Ashish K. Singh, Florentin Smarandache: Time Series Analysis of Water Quality of Ramgarh Lake of Rajasthan. Published in: Rajesh Singh, F. Smarandache (Editors), STUDIES IN SAMPLING TECHNIQUES AND TIME SERIES ANALYSIS, Zip Publishing, Columbus, USA, 2011, ISBN 978-1-59973-159-9, pp. 5 – 23.

Manoj Kr. Chaudhary, Anil Prajapati, Rajesh Singh, Florentin Smarandache: Two-Phase Sampling in Estimation of Population Mean in The Presence of Non-Response. Published in: Rajesh Singh, Florentin Smarandache (Editors), THE EFFICIENT USE OF SUPPLEMENTARY INFORMATION IN FINITE POPULATION SAMPLING, Educational Publisher, Columbus, USA, 2014, ISBN: 978-1-59973-275-6, pp. 28 – 41.

Neeraj Kumar, Sanjey Kumar, Florentin Smarandache: Two-Warehouse Fuzzy Inventory Model with K-Release Rule. Published in: Sachin Malik, Neeraj Kumar, Florentin Smarandache (Editors), USES OF SAMPLING TECHNIQUES & INVENTORY CONTROL WITH CAPACITY CONSTRAINTS, Pons Editions, Brussels, Belgium, 2016, ISBN 978-1-59973-484-2, pp. 53 – 68.

Manoj K. Chaudhary, Sachin Malik, Rajesh Singh, Florentin Smarandache: Use of Auxiliary Information for Estimating Population Mean in Systematic Sampling under Non-Response. Published in: Rajesh Singh, Florentin Smarandache (Editors), ON IMPROVEMENT IN ESTIMATING POPULATION PARAMETER(S) USING AUXILIARY INFORMATION, Educational Publishing (Columbus) & Journal of Matter Regularity (Beijing), USA - China, 2013, ISBN: 978-1-59973-230-5, pp. 5 – 16.

M. Khoshnevisan, Sukanto Bhattacharya, Florentin Smarandache: Utility of Choice: Information Theoretic Approach to Investment Decision-Making. Published in: M. Khoshnevisan, S. Bhattacharya, F. Smarandache (Editors), ARTIFICIAL INTELLIGENCE AND RESPONSIVE OPTIMIZATION (second edition), Xiquan, Phoenix, USA, 2003, ISBN: 1-931233-77-2, pp. 65 – 84.

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