Let X1, X2,.X, be an i.i.d random sample from U(0,0), then the sufficient statistics for 0 is Select one: a. h=max(x;) b. h = min(x,) O . no sufficient statistics for 0 D/N

Q: 1) Evaluate whether y, and y, are uncorrelated 2) Evaluate whether y, and y, are independent

A: Given, y1y2 = 111-1x1x2 So,  y1 = x1+x2y2 = x1-x2 And, Mean is 0 and Variance is 1 So, E(xi) =0…

Q: please give me answer in relatable

A: we decompose the total variance into within-group and between-group variances ,showing they sum to…

Q: Page 164, 3.1.12.* Let X₁, X2, . . ., Xk-1 have a multinomial distribution. (a) Find the mgf of X₁,…

A:

Q: Let X1, X2, Xn be iid N(4, o) where u is assumed known. Let (X; – 4)2 (8')? = E Also recall that s²…

A: Let X1, X2,....Xn be n independent observations from a population with mean, μ and variance σ2. ie.…

Q: Let X1, X2,...Xn be a random sample of size n from a normal distribution with mean u and variance…

A:

Q: Let Y1, Y2,...,Y, denotes a random sample from the uniform distribution on the interval (0,0 + 1).…

A: Given :Let Y1,Y2,..,Yn denotes a random sample from the uniform distributionon the interval…

Q: Q1. The random variable X has an unknown mean but known variance of 8 i.e. X~N (μ, 8). A random…

A: Given  X~N(μ,σ2=16), n=16, x̄=7, sample variance=S2=11

Q: Let X1, X2, ..., Xn ~ exp(A) be a random sample. Show that X is sufficient for 1/A.

A: Given:  X1,x2,.....xn from exponential distribution with parameters lambda  Then to show that xbar…

Q: . Let X1, X2,.., X9 and Y1, Y2, .., Y12 be two independent random samples from the respective normal…

A:

Q: Q2. The Normally distributed random variable X has an unknown mean and an unknown variance, o? i.e.…

A:

Q: (b) Determine e so that п п c£[(x; - X;)² i=l j=1 is an unbiased estimator of o². s2 ogunl to

A: 6. From the given information, X1,.....,Xn~f be an iid random sample with mean μ and variance σ2. a)…

Q: 7. Suppose that X is a random variable for which the m.g.f. is as follows: V(1) = -(3e' + e!) for -0…

A: The moment generating function of the random variable X is given as, MX(t)=E(etx)=ψ(t) =143et+e-t…

Q: Let Yı, Y2,, Ya be a random sample from the following distribution fG) = {02 for 0sy 202 elsewhere…

A: We want to find the sufficient statistic

Q: Let xyz be the random quantities of three standard normal distributions, corr(X,Y) = 0.3, corr(X,Z)…

A: Given information: It is given that X, Y, Z are random quantities of three standard normal…

Q: 2. Let x be a random variable that represents the concentration of iron in water. The EPA specifies…

A:

Q: Yı, Y2, ..., Yn are i.i.d. exponential random variables with E{Y;} = 1/0. Find the distribution of Y…

A: From the given information, Consider, Y1,Y2,....................Yn are i.i.d. exponential random…

Q: A sample of 3 measurements are taken and recorded: x = 8, y = 10 and z The sample mean is: x %3D…

A: Given: x=8,y=10,z=7x=x+y+z3=8.33

Q: Let Y₁ 5).

A: let's consider P(Y50<4). Since the order statistics follow the exponential distribution, we can…

Q: 1) What is the variance of this population? [ ) What is the variance of Xtot? (to three decimal…

A: The population has a standard deviation of 23. So, σ = 23 And, Variance, σ2 = 232  Sample size , n =…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.