Probability, Random Variables, and Random Signal PrinciplesThere are now 134 examples and nearly 900 homework problems; and other topics expanded or added include discussion of probability as a relative frequency, permutations, combinations, transformations of random variables, ergodicity of random processes, laws of large numbers, estimation, various inequalities, properties of impulses, and chapter-end summaries. This new material will prove most useful for students concerned with modern digital systems."--BOOK JACKET. |
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Page 121
... two random variables X and Y by defining the events A = { X ≤ x } and B = { Y ≤ y } for two real numbers x and y . Thus , X and Y are said to be statistically independent random variables if ( and only if ) P { X ≤ x , Y ≤ y } = P ...
... two random variables X and Y by defining the events A = { X ≤ x } and B = { Y ≤ y } for two real numbers x and y . Thus , X and Y are said to be statistically independent random variables if ( and only if ) P { X ≤ x , Y ≤ y } = P ...
Page 122
Peyton Peebles. 122 Probability , Random Variables , and Random Signal Principles EXAMPLE 4.5-2 . The joint density of two random ... independent . In the more general study of the statistical independence of N random variables X1 , X2 , ...
Peyton Peebles. 122 Probability , Random Variables , and Random Signal Principles EXAMPLE 4.5-2 . The joint density of two random ... independent . In the more general study of the statistical independence of N random variables X1 , X2 , ...
Page 139
... Variables Find the exact probability density of the sum W = = X + Y. 4.6-13 . The probability density functions of two statistically independent random variables X and Y are fx ( x ) = u ( x − 1 ) e ̄ ( x - 1 ) / 2 - fy ( y ) = { u ( y ...
... Variables Find the exact probability density of the sum W = = X + Y. 4.6-13 . The probability density functions of two statistically independent random variables X and Y are fx ( x ) = u ( x − 1 ) e ̄ ( x - 1 ) / 2 - fy ( y ) = { u ( y ...
Contents
Venn Diagram Equality and Difference Union | 7 |
Joint Probability Conditional Probability Total | 18 |
The Random Variable | 107 |
Copyright | |
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Probability, Random Variables, and Random Signal Principles Peyton Z. Peebles No preview available - 2001 |
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