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 122
... independent . In the more general study of the statistical independence of N random variables X1 , X2 , ... , XN , we define events A , by ་ A1 = { X ; ≤ x ; } i = 1 , 2 , ... , N ( 4.5-10 ) where the x , are real numbers . With these ...
... independent . In the more general study of the statistical independence of N random variables X1 , X2 , ... , XN , we define events A , by ་ A1 = { X ; ≤ x ; } i = 1 , 2 , ... , N ( 4.5-10 ) where the x , are real numbers . With these ...
Page 138
... .. , N , all have the same density fx , ( x ) = au ( x ) exp ( -ax1 ) where a > 0 is a constant . Find an expression for the density of the sum W X1 + X2 ++ XN for any N. = * 4.6-12 . Statistically independent random variables X and Y.
... .. , N , all have the same density fx , ( x ) = au ( x ) exp ( -ax1 ) where a > 0 is a constant . Find an expression for the density of the sum W X1 + X2 ++ XN for any N. = * 4.6-12 . Statistically independent random variables X and Y.
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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