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 45
Peyton Peebles. We shall often call Fx ( x ) just the distribution function of X. The argument x is 45 any real number ranging from -∞ to ∞ . The distribution function has some specific properties derived from the fact that Fx ( x ) is ...
Peyton Peebles. We shall often call Fx ( x ) just the distribution function of X. The argument x is 45 any real number ranging from -∞ to ∞ . The distribution function has some specific properties derived from the fact that Fx ( x ) is ...
Page 61
... Fx ( x | B ) ≤ 1 ( 2.6-4c ) Variable ( 4 ) Fx ( x1 | B ) ≤ Fx ( x2 | B ) if X1 < X2 ( 2.6-4d ) ( 5 ) P { x1 < X ≤ x2 | B } = Fx ( x2 | B ) – Fx ( x1 | B ) ( 2.6-4e ) ( 6 ) Fx { x * | B ) = Fx ( x | B ) ( 2.6-4f ) These ...
... Fx ( x | B ) ≤ 1 ( 2.6-4c ) Variable ( 4 ) Fx ( x1 | B ) ≤ Fx ( x2 | B ) if X1 < X2 ( 2.6-4d ) ( 5 ) P { x1 < X ≤ x2 | B } = Fx ( x2 | B ) – Fx ( x1 | B ) ( 2.6-4e ) ( 6 ) Fx { x * | B ) = Fx ( x | B ) ( 2.6-4f ) These ...
Page 64
... X. We discuss this case . further in Chapter 4 . One way to define event B in terms of X is to let B = { X < b } ( 2.6-7 ) where b is some real number -∞0 < b < ∞o . After substituting ( 2.6-7 ) in ( 2.6-2 ) ... Fx ( xX≤ b ) or Fx ( x )
... X. We discuss this case . further in Chapter 4 . One way to define event B in terms of X is to let B = { X < b } ( 2.6-7 ) where b is some real number -∞0 < b < ∞o . After substituting ( 2.6-7 ) in ( 2.6-2 ) ... Fx ( xX≤ b ) or Fx ( x )
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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