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Book Cover
E-book
Author Rao, A. V. Dattatreya

Title Angular Statistics
Published Milton : CRC Press LLC, 2019

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Description 1 online resource (255 p.)
Contents Cover -- Half Title -- Title Page -- Copyright Page -- Dedication -- Table of Contents -- Foreword -- Preface -- Acknowledgments -- Authors -- 1: Introduction to Angular Data and Descriptive Statistics -- 1.1 Introduction to Circular Data -- 1.2 Applications and Nature of Angular Data Sets -- 1.2.1 Long-Axis Orientations of Feldspar Laths (Semicircular) Data -- 1.2.2 Face-Cleat in a Coal Seam (Semicircular) Data -- 1.2.3 Movements of Turtles (Circular) Data -- 1.2.4 Thirteen Homing Pigeon (Circular) Data -- 1.2.5 Movements of a Hundred Ants (Circular) Data -- 1.2.6 Noisy Scrub Birds Data
1.2.7 Cross-Bed Azimuths of Palaeocurrents (Circular) Data -- 1.2.8 Plant Phenology -- 1.2.9 Study of Muscular Activity -- 1.2.10 Spatial and Temporal Performance Analysis -- 1.2.11 Study of Neurology -- 1.2.12 Political Science -- 1.2.13 Psychophysical Research -- 1.2.14 Geography -- 1.2.15 Archaeology -- 1.2.16 Remote Sensing -- 1.2.17 Spatial Analysis -- 1.2.18 Plant Biology -- 1.2.19 Kernel Regression for Directional Data -- 1.3 Limitations of Linear Statistics and Need for Angular Statistics -- 1.4 Descriptive Statistics for Directional Data -- 1.4.1 Mean Direction
1.4.2 Circular Distance and Measure of Dispersion -- 1.4.3 Distance between Any Two Points A, B on the Circle -- 1.4.4 Circular Distance between Any Point to Several Points -- 1.4.5 Circular Distribution -- 1.4.6 Trigonometric Moments -- 1.4.7 Population Characteristics of Circular Models -- 1.4.8 The Mean Direction and the Resultant Length -- 1.4.9 Circular Variance and Standard Deviation -- 1.4.10 Central Trigonometric Moments -- 1.4.11 Skewness and Kurtosis -- 1.5 Existing Circular Models -- References -- 2: Wrapped Circular Models -- 2.1 Introduction
2.2 Methodology of Wrapping for Continuous Linear Models -- 2.2.1 Proposition -- 2.3 Wrapped Exponentiated Inverted Weibull Distribution (WEIWD) -- 2.3.1 Probability Density Function (pdf) of Wrapped Exponentiated Inverted Weibull Distribution (WEIWD) -- 2.3.2 Cumulative Distribution Function (cdf) of WEIWD -- 2.3.3 Characteristic Function of WEIWD -- 2.3.4 Population Characteristics of WEIWD -- 2.4 Wrapped New Weibull-Pareto Distribution (WNWPD) -- 2.4.1 Probability Density Function (pdf) of Wrapped New Weibull-Pareto Distribution (WNWPD) -- 2.4.2 Cumulative Distribution Function (cdf) of WNWPD
2.4.3 Characteristic Function of WNWPD -- 2.4.4 Population Characteristics of WNWPD -- 2.5 Wrapped Lognormal Distribution (WLND) -- 2.5.1 Probability Density Function (pdf) of Wrapped Lognormal Distribution (WLND) -- 2.5.2 Cumulative Distribution Function (cdf) of WNWPD -- 2.5.3 Characteristic Function and Trigonometric Moments of WLND -- 2.6 Other Continuous Wrapped Circular Models -- 2.6.1 Wrapped Logistic Distribution (WLGD) -- 2.6.2 Wrapped Weibull Distribution (WWBD) -- 2.6.3 Wrapped Extreme-Value Distribution (WEVD) -- 2.6.4 Wrapped Binormal Distribution (WBNRD)
Notes Description based upon print version of record
2.6.5 Wrapped Half Logistic Distribution (WHLD)
Subject Mathematical models.
Statistics -- Data processing.
mathematical models.
Mathematical models
Statistics -- Data processing
Form Electronic book
Author Girija, S. V. S
ISBN 9781000739633
1000739635
9781000739930
1000739937
9781000739787
1000739783
9780367854485
0367854481