A Dozen Fabulous Pillows by Annie Potter

By Annie Potter

Вязание декоративных подушек: нежное сердце, сердце Америки, цветочная, украшенная розами, и другие оригинальные модели подушек придадут неповторимость и шарм вашей комнате.

Show description

Read Online or Download A Dozen Fabulous Pillows PDF

Best nonfiction_4 books

The Busy Coder's Guide to Advanced Android Development, Version 1.9.2

The Busy Coder's consultant to complex Android improvement alternatives up the place its predecessor left off, protecting but extra subject matters of curiosity to the pro Android software developer. if you would like to take advantage of sensors, create domestic monitor widgets, play again media, take photographs with the digital camera, or enforce refined prone, this e-book should be a worthwhile advisor.

F-16AB Mid-Life Update Production Tape M1 THE PILOTS GUIDE

Изображения: черно-белые, цветные рисункиThe goal of this consultant is to facilitate a easy figuring out of the MLU functions impacting the cockpit mechanization and Pilot-Vehicle Interface (PVI). the elemental descriptions of the mechanizations may help keep away from confusion and advertise powerful structures operation.

Additional info for A Dozen Fabulous Pillows

Sample text

Simple manipulations show that the latter condition is equivalent to 1 − F G−1 (1 − v) 1 − F G−1 (1 − u) ≤ u v for all 0 < u ≤ v < 1. 8) For discrete random variables that take on values in N the definition of ≤hr can be written in two different ways. Let X and Y be such random variables. We denote X ≤hr Y if P {X = n} P {Y = n} ≥ , P {X ≥ n} P {Y ≥ n} n ∈ N. 9) Equivalently, X ≤hr Y if P {X = n} P {Y = n} ≥ , P {X > n} P {Y > n} n ∈ N. 9) holds if, and only if, P {X ≥ n1 }P {Y ≥ n2 } ≥ P {X ≥ n2 }P {Y ≥ n1 } for all n1 ≤ n2 .

A hazard rate order comparison of random sums is given in the following result. 7. Let {Xi , i = 1, 2, . . } be a sequence of nonnegative IFR independent random variables. 10)), and assume that M and N are independent of the Xi ’s. Then M N Xi ≤hr i=1 Xi . 3(d)) does not have the property of being simply closed under mixtures. However, under quite strong conditions the order ≤hr is closed under mixtures. This is shown in the next theorem. 8. Let X, Y , and Θ be random variables such that [X Θ = θ] ≤hr [Y Θ = θ ] for all θ and θ in the support of Θ.

5) holds. Select an a and a b such that a < b. Then P {u ≤ Y ≤ b} P {u ≤ X ≤ b} ≤ P {a ≤ X ≤ b} P {a ≤ Y ≤ b} whenever u ∈ [a, b]. It follows then that P {a ≤ X < u} P {a ≤ Y < u} ≥ P {u ≤ X ≤ b} P {u ≤ Y ≤ b} whenever u ∈ [a, b]. P {a ≤ X < u} P {u ≤ X ≤ b} ≥ P {a ≤ Y < u} P {u ≤ Y ≤ b} whenever u ∈ [a, b]. C The Likelihood Ratio Order 45 P {b ≤ X ≤ v} P {u ≤ X < b} ≥ . P {u ≤ Y < b} P {b ≤ Y ≤ v} Therefore, when X and Y are continuous random variables, P {a ≤ X < u} P {b ≤ X ≤ v} ≥ P {a ≤ Y < u} P {b ≤ Y ≤ v} whenever a < u ≤ b ≤ v.

Download PDF sample

Rated 4.45 of 5 – based on 46 votes