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Random Variables, Their Properties, and Deviational Ellipses: In Map Point and Excel, v 4.0

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  • Goodwin, Roger L

Abstract

This book is a practical reference guide accompanied with an Excel Workbook. This book gives an elementary introduction of the weighted standard deviational ellipse. This book also presents the computational aspects of the weighted exponential distributions as well. For the examples given, calculations are performed using VBA for Excel. This book makes comparisons (and shows the computations via VBA for Excel) using the likelihood functions with spatial data of the weighted ellipses. Lastly, the book covers spherical statistics. Throughout the text, the reader can see how to perform these difficult calculations and learn to adapt the code for his research.

Suggested Citation

  • Goodwin, Roger L, 2014. "Random Variables, Their Properties, and Deviational Ellipses: In Map Point and Excel, v 4.0," MPRA Paper 64101, University Library of Munich, Germany, revised 17 Apr 2015.
    • Handle: RePEc:pra:mprapa:64101
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    References listed on IDEAS

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    1. B. W. Kelly, 1963. "Probability Sampling in Collecting Farm Data," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 45(5), pages 1515-1520.
    2. Christopher A. Wolf & Daniel A. Sumner, 2001. "Are Farm Size Distributions Bimodal? Evidence from Kernel Density Estimates of Dairy Farm Size Distributions," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 83(1), pages 77-88.
    3. Lenth R. V., 2001. "Some Practical Guidelines for Effective Sample Size Determination," The American Statistician, American Statistical Association, vol. 55, pages 187-193, August.
    4. Yu, Jun & Yang, Zhenlin, 2002. "A Class of Nonlinear Stochastic Volatility Models," Working Papers 203, Department of Economics, The University of Auckland.
    5. Yu, Jun & Yang, Zhenlin & Zhang, Xibin, 2006. "A class of nonlinear stochastic volatility models and its implications for pricing currency options," Computational Statistics & Data Analysis, Elsevier, vol. 51(4), pages 2218-2231, December.
    6. Andrew Wood, 1982. "A Bimodal Distribution on the Sphere," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 31(1), pages 52-58, March.
    7. Lonnie Magee, 1998. "Improving survey‐weighted least squares regression," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 60(1), pages 115-126.
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    More about this item

    Keywords

    spatial; remote sensing; longitudinal data; statistics; weibull distribution; exponential distribution; weighted data; map point; google earth; weighted regression; ellipse; area; random variables; spherical statistics; VBA for Excel; mean center; eccentricity; axis length; rotation; weighted mean center; mean latitude; mean longitude; distribution fitting; spherical variance; eigenvalue; eigenvector;
    All these keywords.

    JEL classification:

    • C46 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Specific Distributions

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