Construction Of Almost Unbiased Estimator For Population Mean Using Neutrosophic Information
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Construction Of Almost Unbiased Estimator For Population Mean Using Neutrosophic Information
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Author : Rajesh Singh
language : en
Publisher: Infinite Study
Release Date : 2024-01-01
Construction Of Almost Unbiased Estimator For Population Mean Using Neutrosophic Information written by Rajesh Singh and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-01-01 with Mathematics categories.
In classical statistics, the population mean is estimated using determinate, crisp data value when auxiliary information is known. These estimates can often be biased. The main objective of this study is to introduce the neutrosophic estimator with the minimum mean squared error (MSE) for the unknown value of the population mean as well as overcome the limitations of classical statistics when dealing with ambiguous or indeterminate data. Neutrosophic statistics was introduced by Florentin Smarandache. It is a generalisation of classical statistics that addresses ambiguous, unclear, vague, and indeterminate data. In this study, we have proposed neutrosophic almost unbiased estimator that use known neutrosophic auxiliary parameters to estimate the neutrosophic population mean of the primary variable. Equations for bias and mean squared error are calculated for the suggested estimators up to the first order of approximation. The proposed estimator performs better than the other existing estimators with respect to the MSE and percent relative efficiency (PRE) criteria. The estimator with the highest PRE or lowest MSE is advised for practical utility in various kinds of application areas. The theoretical conclusions are validated by the empirical analysis, which made use of the real data sets.
Neutrosophic Sets And Systems Vol 76 2025
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2025-01-15
Neutrosophic Sets And Systems Vol 76 2025 written by Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-01-15 with Mathematics categories.
“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc. Neutrosophy is a new branch of philosophy that studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. This theory considers every notion or idea together with its opposite or negation
Introduction To Neutrosophic Statistics
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2014
Introduction To Neutrosophic Statistics written by Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with Mathematics categories.
Neutrosophic Statistics means statistical analysis of population or sample that has indeterminate (imprecise, ambiguous, vague, incomplete, unknown) data. For example, the population or sample size might not be exactly determinate because of some individuals that partially belong to the population or sample, and partially they do not belong, or individuals whose appurtenance is completely unknown. Also, there are population or sample individuals whose data could be indeterminate. In this book, we develop the 1995 notion of neutrosophic statistics. We present various practical examples. It is possible to define the neutrosophic statistics in many ways, because there are various types of indeterminacies, depending on the problem to solve.
Neutrosophy
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Author : Florentin Smarandache
language : en
Publisher:
Release Date : 1998
Neutrosophy written by Florentin Smarandache and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.
Indirect Questioning In Sample Surveys
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Author : Arijit Chaudhuri
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-08-31
Indirect Questioning In Sample Surveys written by Arijit Chaudhuri and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-08-31 with Social Science categories.
Indirect questioning is a crucial topic in surveys of human populations. When the issue is about a stigmatizing characteristic (for example about illegal drug use), standard survey methodologies are destined to fail because, as expected, people are not willing to reveal incriminating information or information violating their privacy. Indirect questioning techniques have been devised so that the privacy of participants in a sample survey is protected and at the same time good estimates of certain parameters (e.g. the percentage of people in a certain community who use illegal drugs) can be delivered. The topic is modern and still under development. Indirect Questioning in Sample Surveys represents a collection of the most important and recent techniques of indirect questioning, including various versions of randomized response, the item count technique, the nominative technique, the three-card method, non-randomized response models and negative surveys, while also exploring the key aspect of protecting privacy.
Ridge Fuzzy Regression Modelling For Solving Multicollinearity
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Author : Hyoshin Kim
language : en
Publisher: Infinite Study
Release Date :
Ridge Fuzzy Regression Modelling For Solving Multicollinearity written by Hyoshin Kim and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
This paper proposes an a-level estimation algorithm for ridge fuzzy regression modeling, addressing the multicollinearity phenomenon in the fuzzy linear regression setting.
Randomized Response And Indirect Questioning Techniques In Surveys
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Author : Arijit Chaudhuri
language : en
Publisher: Chapman & Hall/CRC
Release Date : 2017-05-31
Randomized Response And Indirect Questioning Techniques In Surveys written by Arijit Chaudhuri and has been published by Chapman & Hall/CRC this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-31 with categories.
For surveys involving sensitive questions, randomized response techniques (RRTs) and other indirect questions are helpful in obtaining survey responses while maintaining the privacy of the respondents. Written by one of the leading experts in the world on RR, Randomized Response and Indirect Questioning Techniques in Surveys describes the current state of RR as well as emerging developments in the field. The author also explains how to extend RR to situations employing unequal probability sampling. While the theory of RR has grown phenomenally, the area has not kept pace in practice. Covering both theory and practice, the book first discusses replacing a direct response (DR) with an RR in a simple random sample with replacement (SRSWR). It then emphasizes how the application of RRTs in the estimation of attribute or quantitative features is valid for selecting respondents in a general manner. The author examines different ways to treat maximum likelihood estimation; covers optional RR devices, which provide alternatives to compulsory randomized response theory; and presents RR techniques that encompass quantitative variables, including those related to stigmatizing characteristics. He also gives his viewpoint on alternative RR techniques, including the item count technique, nominative technique, and three-card method.
Neutrosophic Set A Generalization Of The Intuitionistic Fuzzy Set
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2010-08-23
Neutrosophic Set A Generalization Of The Intuitionistic Fuzzy Set written by Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08-23 with Mathematics categories.
In this paper one generalizes the intuitionistic fuzzy set (IFS), paraconsistent set, and intuitionistic set to the neutrosophic set (NS). Many examples are presented. Distinctions between NS and IFS are underlined.
Ranked Set Sampling
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Author : Munir Ahmad
language : en
Publisher: Cambridge Scholars Publishing
Release Date : 2010-09-13
Ranked Set Sampling written by Munir Ahmad and has been published by Cambridge Scholars Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-09-13 with Social Science categories.
Ranked Set Sampling is one of the new areas of study in this region of the world and is a growing subject of research. Recently, researchers have paid attention to the development of the types of sampling; though it was not welcome in the beginning, it has numerous advantages over the classical sampling techniques. Ranked Set Sampling is doubly random and can be used in any survey designs. The Pakistan Journal of Statistics had attracted statisticians and samplers around the world to write up aspects of Ranked Set Sampling. All of the essays in this book have been reviewed by many critics. This volume can be used as a reference book for postgraduate students in economics, social sciences, medical and biological sciences, and statistics. The subject is still a hot topic for MPhil and PhD students for their dissertations.
Elementary Fuzzy Matrix Theory And Fuzzy Models For Social Scientists
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Author : W. B. Vasantha Kandasamy, Florentin Smarandache, K. Ilanthenral
language : en
Publisher: Infinite Study
Release Date : 2007-03-01
Elementary Fuzzy Matrix Theory And Fuzzy Models For Social Scientists written by W. B. Vasantha Kandasamy, Florentin Smarandache, K. Ilanthenral and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-03-01 with Mathematics categories.