Calculus and Above

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Let X1,...,Xn be i.i.d. random variables with p.d.f. f(x;θ)=
Let X1,...,Xn be i.i.d. random variables with p.d.f. f(x;θ)= 1 exp􏰅−x􏰆I(x>0), where θ∈Θ=(0,∞). θθ… read more
MunishK
MunishK
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M. Sc Mathematica
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Let X ∼Γ(α,β), which has p.d.f. fX(x)= βα xα−1e−βxI(0,∞)(x),
Let X ∼Γ(α,β), which has p.d.f. fX(x)= βα xα−1e−βxI(0,∞)(x), where Γ(ω):=􏰁∞vω−1e−vdv is the Γ(α) 0 Gamma function, for ω > 0. 1. Compute the moment generating function of X. [5 points] [Hint: 􏰁0∞… read more
MunishK
MunishK
Assistant Professor
M. Sc Mathematica
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In the following probability​ distribution, the random
In the following probability​ distribution, the random variable x represents the number of activities a parent of a Upper KK to 5 th5th​-grade student is involved in. Complete parts​ (a) through​ (f) … read more
Tom
Tom
Master's Degree
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I have a statistic question, based on marginal probability.
I have a statistic question, based on marginal probability.Consider the random variable X and its probabilty density function: xi -4 -2 0 1 3 f(xi) 0.2 0.3 0.1 0.2 0.2 A second random variable is give… read more
Tom
Tom
Master's Degree
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I have two questions in advanced stochastic process
I have two questions in advanced stochastic process assignment nee help … read more
Dr Arthur Rubin
Dr Arthur Rubin
Doctoral Degree
Doctoral Degree
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I am preparing for a probability theory test and I am having
I am preparing for a probability theory test and I am having problems with MGF's these are some examples from previous exams which I would like solutions for along with explanations to help me study. … read more
Stevewh
Stevewh
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Bachelor's Degree
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1. An immigration-birth process with arrival rate λ and birth
1. An immigration-birth process with arrival rate λ and birth rate β may be described by the probability statement P(X(t +δt) = x + 1| X(t) = x) = (λ + βx)δt + 0(δt) Suppose that at time 0 the size of… read more
Expert
Expert
Question 5 – 8 marksThis question is intended to assess your
Question 5 – 8 marks This question is intended to assess your understanding of birth and death processes. You should be able to answer this question after working through Part I of Book 4. The integer… read more
rajeevanpillai
rajeevanpillai
Master's Degree
Master's Degree
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1) A point is generated at random in the plane according to
1) A point is generated at random in the plane according to the following polar scheme. A radius R is chosen, where the distribution of R^2 is X^2 with 2 degrees of freedom. Independently, an angle θ … read more
Dr Arthur Rubin
Dr Arthur Rubin
Doctoral Degree
Doctoral Degree
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The Pareto distribution, with parameters α and β, has pdf
The Pareto distribution, with parameters α and β, has pdf f(x)=(βα^β)/x^(β+1) ,α0. a)Verify that f(x) is a pdf. b) Derive the mean and variance of the distribution. c) Prove that variance does not exi… read more
rajeevanpillai
rajeevanpillai
Master's Degree
Master's Degree
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The density function of a random variable X is given by f(x)=1/5
The density function of a random variable X is given by f(x)=1/5 sqrt 2pi e ^ -(x+1.3)^2/50. Find its math expectation, variance and distribution function… read more
Math-John
Math-John
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The density function of a random variable X is given by f(x)=1/5
The density function of a random variable X is given by f(x)=1/5 sqrt 2pi e ^ -(x+1.3)^2/50. Find its math expectation, variance and distribution function… read more
Osbert12
Osbert12
Master's Degree
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Let X1,X2,...,Xn represent a random sample from a population
Attachment: 2012-04-24_132012_img.pdf Let X1,X2,...,Xn represent a random sample from a population with a gamma(2,b) distribution, i.e. its probability density function is given by f(x;b) =(xe^(-x/b))… read more
statwaves
statwaves
Doctoral Degree
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Give a method for generating a random variable having distribution
Give a method for generating a random variable having distribution function F (x) = 1 − exp(−αx^β ), 0 < x < ∞. A random variable having such a distribution is said to be a Weibull random variab… read more
Osbert12
Osbert12
Master's Degree
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Use the inverse transform method to generate a random variable
Use the inverse transform method to generate a random variable X having the distribution Pr(X=i)= 1/[i(i+1)] , i=1,2,.... Write the algorithm, but you don't need to implement it. Hint: Determine the d… read more
Osbert12
Osbert12
Master's Degree
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Outline the algorithm that generates a random variable having
Outline the algorithm that generates a random variable having a density function f(x) = (x−2)/2 , if 2 ≤ x ≤ 3  (2−x/3)/2 , if3… read more
Math-John
Math-John
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Consider an exponential distribution with parameter b>0, i.e.
Consider an exponential distribution with parameter b>0, i.e. its pdf is f(x/B) = (1/B) EXP(-x/B) , IF x>=0 . show that the random variable Y=X^(1/L) where L>0 has a Weibull distribution with… read more
statwaves
statwaves
Doctoral Degree
10 satisfied customers
X are iid random variables with symmetrical distribution f(x),
X are iid random variables with symmetrical distribution f(x), mu and sigma. Minimize the sum of absolute value of (Xi - b) wrt b. b turns out to be the median but how do we get there?… read more
Stevewh
Stevewh
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