probability random variables and random processes pdf
theory and problems of probability, random variables, and random processes - hwei p. hsu
Ngày tải lên :
31/03/2014, 16:25
...
X({)
=
1,
3,
5,
7, . .
.}.
Find P(A).
Ans.
3
CHAP.
21
RANDOM
VARIABLES
2.4
DISCRETE RANDOM VARIABLES AND PROBABILITY MASS FUNCTIONS
A.
Definition
:
Let X be a r.v. with cdf ... digits
1
and
0
randomly with probabilities
0.6
and
0.4,
respectively.
(a)
What is the probability that two 1s and three 0s will occur in a five-digit sequence?
(b)
What is the probability ...
and
y
=
r
sin
9
(that is, using polar coordinates), we have
Thus,
and
2.22. Consider a function
Find the value of
a
such that
f
(x)
is a pdf of a continuous r.v.
X.
RANDOM VARIABLES...
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probability, random variables and random processes-schaum's outline
Ngày tải lên :
08/04/2014, 12:21
... A, B,
C
are said to be independent if and only if
(1 SO)
Schaum's Outline of
Theory and Problems of
Probability, Random Variables, and Random
Processes
Hwei P. Hsu, Ph.D.
Professor ... digits
1
and
0
randomly with probabilities
0.6
and
0.4,
respectively.
(a)
What is the probability that two 1s and three 0s will occur in a five-digit sequence?
(b)
What is the probability ...
2
and property
3.
Since
A
c
S, we have
and
by
Eq. (2.31),
RANDOM
VARIABLES
[CHAP
2
2.30.
Find the mean and variance of the
r.v.
X
of Prob.
2.20.
From Prob. 2.20, the pdf...
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mcgraw-hill - probability, random variables and random processes (schaum's outlines, ocr) - 1997
Ngày tải lên :
08/04/2014, 12:29
...
00
U
Bi
=
U
A,
for all
n
2
1,
and
U
B,
=
U
A,
=
A,
i=l
i=l
i=l i=l
CHAP.
21
RANDOM
VARIABLES
2.4
DISCRETE RANDOM VARIABLES AND PROBABILITY MASS FUNCTIONS
A.
Definition ... digits
1
and
0
randomly with probabilities
0.6
and
0.4,
respectively.
(a)
What is the probability that two 1s and three 0s will occur in a five-digit sequence?
(b)
What is the probability ... called the probability mass function (pmf) of the discrete r.v.
X.
Properties of pdx)
:
The cdf FX(x) of a discrete r.v. X can be obtained by
2.5
CONTINUOUS RANDOM VARIABLES AND PROBABILITY...
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schaum's outlines - probability, random variables and random processes, 1997
Ngày tải lên :
08/04/2014, 12:30
... Large Numbers and the Central Limit Theorem 128
Solved Problems 129
Chapter 5. Random Processes 161
5.1 Introduction 161
5.2 Random Processes 161
5.3 Characterization of Random Processes 161 ... of Random Processes 162
5.5 Discrete-Parameter Markov Chains 165
5.6 Poisson Processes 169
5.7 Wiener Processes 172
Solved Problems 172
Chapter 6. Analysis and Processing of Random Processes ... Theorems 122
4.1 Introduction 122
4.2 Functions of One Random Variable 122
4.3 Functions of Two Random Variables 123
4.4 Functions of n Random Variables 124
4.5 Expectation 125
4.6 Moment Generating...
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60 Complex Random Variables and Stochastic Processes
Ngày tải lên :
25/10/2013, 02:15
... ofrandom variables,
called circular complex random variables. Circularity is a type of symmetry in the distributions of
the real and imaginary parts of complex random variables and stochastic processes, ... the random variables themselves are complex: the χ
2
, F, and β distributions
all describe real random variables functionally dependent on complex Gaussians.
Let z and q be independent scalar random ... Leon-Garcia, A.,
Probability and Random Processes for Electrical Engineering,
2nd ed.,
Addison-Wesley, Reading, MA, 1994.
[4] Melsa, J. and Sage, A.,
An Introduction to Probability and Stochastic Processes,
Prentice-Hall,
Englewood...
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- 0
Báo cáo hóa học: " Research Article On Complete Convergence for Arrays of Rowwise ρ-Mixing Random Variables and Its Applications" pdf
Ngày tải lên :
21/06/2014, 07:20
... ρ-mixing
random variables and to present some results on complete convergence under some suitable
conditions. Some results generalize previous known results for rowwise independent random
variables.
1. ... generated by {X
i
; m ≤ i ≤ n}.
The ρ-mixing random variables were first introduced by Kolmogorov and Rozanov
1. The limiting behavior of ρ-mixing random variables is very rich, for example, these ... Theory of Probability and Its Applications, vol. 2, pp. 222–227, 1960.
2 I. A. Ibragimov, “A note on the central limit theorem for dependent random variables, ” Theory of
Probability and Its Applications,...
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báo cáo hóa học:"Some exponential inequalities for acceptable random variables and complete convergence" docx
Ngày tải lên :
18/06/2014, 15:20
... inequality for acceptable random variables generalizes and improves
the corresponding results presented by Yang for NA random variables and Wang et
al. for NOD random variables. Using the exponential ... results of Yang [9] for NA
random variables and Wang et al. [10] for NOD random variables. In Section 3, we will
study the complete convergence for acceptable random variables using the exponential
inequalities ... acceptable random variables.
MSC(2000): 60E15, 60F15.
Keywords: acceptable random variables; exponential inequality; complete conver-
gence.
1 Introduction
Let {X
n
, n ≥ 1} be a sequence of random variables...
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Báo cáo hóa học: " Some exponential inequalities for acceptable random variables and complete convergence" pptx
Ngày tải lên :
20/06/2014, 23:20
... presented by Yang for NA random variables and Wang et al.
for NOD random variables. Using the exponential inequalities, we further study the
complete convergence for acceptable random variables.
MSC(2000): ... acceptable random variables. For example, Xing et al. [6] consider a strictly
stationary NA sequence of random variables. According to the sentence above, a
sequence of strictly stationary and NA random ... results of
Yang [9] for NA random variables and Wang et al. [10] for NOD random v ariables. In
Section 3, we will study the complete convergence for acceptable random variables
using the exponential...
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Dynamics in Human and Primate Societies: Agent-Based Modeling of Social and Spatial Processes pdf
Ngày tải lên :
14/03/2014, 21:20
... patterns, aggregation
and
abandonment, health
and
disease,
and
social
and
economic interaction.
The
third workshop
followed
a
more typical
SFI
format
(Gumerman
and
Gell-Mann 1994).
... expla-
nations
or
physiological descriptions
on the one
hand,
and the
soft-ware
anal-
ogy
for
understanding cognition
and
motivation
on the
other hand (Baerends
1976;
Hinde 1982; Colgan 1989; ... actions
and the
understandings
that
we
have built about
the
world,
we are
tempted
to
assume
5
Dynamics
in
Human
and
Primate Societies:
Agent-Based Modeling
of
Social
and
Spatial
Processes
...
- 413
- 313
- 1
Design for aesthetics: interactions of design variables and aesthetic properties pdf
Ngày tải lên :
30/03/2014, 16:20
... properties and design variables, by
integrating knowledge from other fields such as philosophy, psychology and arts. Commonly-accepted aesthetic properties
and language terms used for evaluation and ... intention is to make sure that a variety of aesthetic judgements and emotional responses are obtained not at random, but
in a more controlled and exhaustive manner which exert the most impacts. Furthermore, ... object (or feature) and that of another. A number of standard good proportion exist (e.g. the golden section). Areal and
volumetric refers to similar relations in the areas and volumes of objects...
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Tài liệu Bài 2: Random Vectors and Independence pdf
Ngày tải lên :
13/12/2013, 14:15
... covering probability, random variables, and
stochastic processes is [353].
2.1 PROBABILITY DISTRIBUTIONS AND DENSITIES
2.1.1 Distribution of a random variable
In this book, we assume that random variables ... random vectors
y
and
z
, and (2.57) still holds. A similar
argument applies to the random vectors
y
and
z
.
Example 2.6 First consider the random variables
x
and
y
discussed in Examples 2.2
and ... the random
vector
x(n)=x(n)x(n 1)::: x(n m)]
T
(2.118)
2
Random Vectors and
Independence
In this chapter, we review central concepts of probability theory,statistics, and random
processes. ...
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Báo cáo "On the stability of the distribution function of the composed random variables by their index random variable " pdf
Ngày tải lên :
14/03/2014, 13:20
... composed random variable η =
ν
k=1
ξ
k
, where ξ
1
, ξ
2
,
are independent identically distributed random variables and ν is a positive value random,
independent of all ξ
k
.
In [1] and [2], ... distribution of the composed random variables and their stabilities
Dotor thesis, Hanoi 2000.
[2] Tran Kim Thanh, Nguyen Huu Bao, On the geometric composed variables and the estimate of the stable ... Physics 23 (2007) 70-74
On the stability of the distribution function of the composed
random variables by their index random variable
Nguyen Huu Bao
∗
Faculty of Infomation Technology, Water Resources...
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Báo cáo hóa học: "Research Article A Random Ant-Like Unicast Routing Protocol for Wireless Ad Hoc Sensor Networks and Performance Evaluation" pdf
Ngày tải lên :
21/06/2014, 17:20
... nodes can also be evaluated. The mobility model
used is Modified Random Waypoint [11]witheachnode’s
mobility rate randomly set b etween 0 and 20 meters per sec.
As we think the node in sensor networks ... Mobile Computing,T.Imielinskiand
H. F. Korth, Eds., chapter 5, Kluwer Academic Publishers,
Dodrecht, The Netherlands, 1996.
[4] C. E. Perkins and E. M. Royer, “Ad hoc on-demand distance
vector routing,” ... Wireless Sensor Networks: Architectures and
Protocols, Auerbach Publications, CRC Press, Boca Raton, Fla,
USA, 2004.
[11] J. Yoon, M. Liu, and B. Noble, Random waypoint considered
harmful,” in...
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- 0
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