Probability distributions involving Gaussian random variables : a handbook for engineers and scientists /

Probability distributions involving Gaussian random variables : a handbook for engineers and scientists /

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Bibliographic Details
Main Author: Simon, Marvin Kenneth, 1939-
Format: Book
Language:English
Published: New York : Springer, 2006,©2002
Series:International series in engineering and computer science
Subjects:
Gaussian distribution
Random variables
Gauss-processen
Random walks (statistiek)
Waarschijnlijkheidstheorie
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245 1 0 |a Probability distributions involving Gaussian random variables :  |b a handbook for engineers and scientists /  |c Marvin K. Simon 
260 |a New York :  |b Springer,  |c 2006,©2002 
300 |a xix, 200 pages :  |b illustrations ;  |c 24 cm 
336 |a text  |b txt  |2 rdacontent 
337 |a unmediated  |b n  |2 rdamedia 
490 1 |a The Springer international series in engineering and computer science 
500 |a Originally published: Boston : Kluwer Academic Publishers 2002 
504 |a Includes bibliographical references (p. [139]-141) 
505 0 0 |t A Brief Biography of Carl Friedrich Gauss --   |g 1  |t Basic Definitions and Notation --   |g 2.  |t Fundamental One-Dimensional Variables --   |g A.  |t Gaussian --   |g B.  |t Rayleigh --   |g C.  |t Rician --   |g D.  |t Central Chi-Square --   |g E.  |t Noncentral Chi-Square --   |g F.  |t Log-Normal --   |g 3.  |t Fundamental Multidimensional Variables --   |g A.  |t Gaussian --   |g B.  |t Rayleigh --   |g C.  |t Rician --   |g D.  |t Central Chi-Square --   |g E.  |t Noncentral Chi-Square --   |g F.  |t Log-Normal --   |g 4.  |t Difference of Chi-Square Random Variables --   |g A.  |t Independent Central Chi-Square (-) Central Chi-Square --   |g B.  |t Dependent Central Chi-Square (-) Central Chi-Square --   |g C.  |t Independent Noncentral Chi-Square (-) Central Chi-Square --   |g D.  |t Independent Central Chi-Square (-) Noncentral Chi-Square --   |g E.  |t Independent Noncentral Chi-Square (-) Noncentral Chi-Square --   |g 5.  |t Sum of Chi-Square Random Variables --   |g A.  |t Independent Central Chi-Square (+) Central Chi-Square --   |g B.  |t Dependent Central Chi-Square (+) Central Chi-Square --   |g C.  |t Independent Noncentral Chi-Square (+) Central Chi-Square --   |g D.  |t Independent Noncentral Chi-Square (+) Noncentral Chi-Square --   |g 6.  |t Products of Random Variables --   |g A.  |t Independent Gaussian (x) Gaussian (Both Have Zero Mean) --   |g B.  |t Dependent Gaussian (x) Gaussian (Both Have Zero Mean) --   |g C.  |t Independent Gaussian (x) Gaussian (One Has Zero Mean, Both Have Identical Variance) --   |g D.  |t Independent Gaussian (x) Gaussian (Both Have Nonzero Mean and Identical Variance) --   |g E.  |t Independent Rayleigh (x) Rayleigh --   |g F.  |t Dependent Rayleigh (x) Rayleigh --   |g G.  |t Independent Rice (x) Rayleigh --   |g H.  |t Independent Rice (x) Rice --   |g I.  |t Dependent Rayleigh Products --   |g 7.  |t Ratios of Random Variables --   |g A.  |t Independent Gaussian [Division] Gaussian (Both Have Zero Mean) --   |g B.  |t Independent Gaussian [Division] Gaussian (One Has Zero Mean) --   |g C.  |t Independent Gaussian [Division] Gaussian (Both Have Nonzero Mean) --   |g D.  |t Dependent Gaussian [Division] Gaussian (Both Have Zero Mean) --   |g E.  |t Dependent Gaussian [Division] Gaussian (One Has Zero Mean) --   |g F.  |t Dependent Gaussian [Division] Gaussian (Both Have Nonzero Mean) --   |g G.  |t Independent Gaussian (Zero Mean) [Division] Rayleigh --   |g H.  |t Independent Gaussian (Zero Mean) [Division] Rice --   |g I.  |t Independent Rayleigh [Division] Rayleigh --   |g J.  |t Dependent Rayleigh [Division] Rayleigh --   |g K.  |t Independent Rice [Division] Rayleigh --   |g L.  |t Independent Rice [Division] Rice --   |g M.  |t Dependent Rayleigh Ratios --   |g 8.  |t Maximum and Minimum of Pairs of Random Variables --   |g A.  |t Independent Gaussian --   |g B.  |t Dependent Gaussian --   |g C.  |t Independent Rayleigh --   |g D.  |t Dependent Rayleigh --   |g E.  |t Independent Log-Normal --   |g F.  |t Dependent Log-Normal --   |g 9.  |t Quadratic Forms --   |g A.  |t Both Vectors Have Zero Mean --   |g B.  |t One or Both Vectors Have Nonzero Mean --   |g C.  |t A Reduced Quadratic Form Where the Vectors Have Different Numbers of Dimensions --   |g D.  |t General Hermetian Quadratic Forms --   |g 10.  |t Other Miscellaneous Forms --   |g A.  |t Independent Rayleigh (+) Rayleigh --   |g B.  |t Independent Gaussian (x) Rayleigh --   |g C.  |t Independent Gaussian (x) Rayleigh (+) Gaussian --   |g D.  |t Independent Gaussian (+) Rayleigh --   |g E.  |t General Products of Ratios of Independent Gaussians --   |g Appendix A.  |t Alternative Forms --   |g 1.  |t One-Dimensional Distributions and Functions --   |g A.  |t The Gaussian Q-Function --   |g B.  |t The Marcum Q-Function --   |g C.  |t The Nuttall Q-Function --   |g D.  |t The Complementary Incomplete Gamma Function --   |g 2.  |t Two-Dimensional Distributions and Functions --   |g A.  |t The Gaussian Q-Function --   |g Appendix B.  |t Integrals Involving Q-Functions --   |g 1.  |t The Gaussian Q-Function --   |g A.  |t Q-Function and x --   |g B.  |t Q-Function with Exponentials and x --   |g C.  |t Q-Function with Exponentials, Bessel Functions and x --   |g 2.  |t The First-Order Marcum Q-Function --   |g A.  |t Q-Function with One Linear Argument --   |g B.  |t Q-Function with One Linear Argument and Exponentials --   |g C.  |t Q-Function with One Linear Argument and x --   |g D.  |t Q-Function with One Linear Argument, Exponentials and Powers of x --   |g E.  |t Q-Function with One Linear Argument, Bessel Functions, Exponentials and Powers of x --   |g F.  |t Product of Two Q-Functions with One Linear Argument --   |g G.  |t Q-Function with Two Linear Arguments and x --   |g H.  |t Q-Function with Two Linear Arguments, Exponentials and x --   |g 3.  |t The Generalized (Mth-Order) Marcum Q-Function --   |g A.  |t Q-Function with One Linear Argument and Powers of x --   |g B.  |t Q-Function with One Linear Argument, Exponentials and Powers of x --   |g C.  |t Q-Function with One Linear Argument, Bessel Functions, Exponentials and Powers of x --   |g D.  |t Q-Function with Two Linear Arguments, Exponentials and Powers of x --   |g Appendix C.  |t Bounds on the Gaussian Q-Function and the Marcum Q-Function --   |g 1.  |t The Gaussian Q-Function --   |g 2.  |t The Marcum Q-Function. 
650 0 |a Gaussian distribution 
650 0 |a Random variables 
650 1 7 |a Gauss-processen  |2 gtt 
650 1 7 |a Random walks (statistiek)  |2 gtt 
650 1 7 |a Waarschijnlijkheidstheorie  |2 gtt 
830 0 |a International series in engineering and computer science 
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