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let x be a discrete random variable with px -1 2p1 - p and px k pk1 - p3-k k 0 1 2 3 where p isin 0 1a determine
let x1 xnnbspbe iid observations obtain a umvue of a in the following casesa xinbsphas the exponential distribution ea
assume that a three-story building with rigid floor girders has rayleigh damping if the modal dampings for the first
let x1 xnnbspbe iid binary random variables with pxinbsp 1 p isin 0 1a find the umvue of pm m le nb find the umvue of
let x1 xnnbspbe iid having the nmicro sigma2 distribution with an unknown micro isin r and a known sigma2nbspgt 0a
let x1 xnnbspbe iid having the uniform distribution on the interval theta1-theta2 theta1theta2 where theta1nbspisin r
let x1 xnnbspbe iid having the exponential distribution ea theta with parameters theta gt 0 and a isin ra find the
let x1 xnnbspbe iid having the pareto distribution paa theta with theta gt 0 and a gt 0a find the umvue of theta when
let x1 xmnbspbe iid having the uniform distribution u0 thetax and y1 ynnbspbe iid having the uniform distribution u0
let x be a random variable having the negative binomial distribution nbp r with an unknown p isin 0 1 and a known ra
determine the modal matrix p and the weighted modal matrix p for the system shown in fig p6i9 and the stiffness matrix
determine p for a double pendulum with coordinates 0 and 02 show that p decouples the equations of
the lateral and torsional oscillations of the system shown in fig p636 will have equal natural frequencies for a
let x1 xnnbspbe iid with unknown mean micro isin r and variance sigma2nbspgt 0 assume that ex41nbsplt infin using the
three equal springs of stiffness k lbfm are joined at one end the other ends being arranged symmetrically at 1200 from
a simply supported uniform beam of length i is loaded with weights at positions 029 and 061 determine the flexibility
let g1 g2 be continuous functions on a b sub r such that gnx rarr gx uniformly for x in any closed subinterval of a b
consider a location family pmicro micro isin rk on rk where pmicronbsp pmicroiknbspis given in 210 let l0nbspisin
a median of a random variable y or its distribution is any value m such that py le m ge frac12 and py ge m ge frac12a
let x be a binary observation with px 1 theta1nbspor theta2 where 0 ltgt1nbspltgt2nbsplt 1 are known values consider
suppose that x is a sample and a statistic tx has a distribution in a location family pmicro micro isin r using t x
let x x1 xn be a sample from ptheta where theta isin theta1 thetak with a fixed integer k let tnx be an estimator of
let x1 xnnbspbe iid from the uniform distribution on theta- frac12 theta frac12 where theta isin r is unknown show
let t0x be an unbiased estimator of in an estimation problem show that any unbiased estimator of thetasym is of the