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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
let x1 xnnbspbe iid observations suppose that tnnbspis an unbiased estimator of thetasym based on x1 xnnbspsuch that