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1 create an example like example 162 in which alpha gt 0 and theta 02 prove theorem 1643 suppose you are given
7 get the passenger car mileage data from httplibstatcmuedudasldatalescarmpgdathtmla fit a multiple linear
1 computer experiment compare the risk of the mle and the james- stein estimator 1212 by simulation try various values
1 find the joint pdf of the signal from exercise 851 atnbspt1nbspnbsp1 t2nbspnbspnbsp15 andnbspt3nbspnbspnbsp25 write
1 a zero-mean gaussian random signal has the autocorrelation function of the form gammaxtau 10e-01tau cos
repeat construction of the optimal lter from example 731 in the case when the useful signalnbspy thas a more general
statistics exercisefor this assignment you are required to write the data analysis section of the methods and the
1 letnbsppnbspbe a regular transition matrix and letnbspwnbspbe the unique non-zero fixed vector ofnbspp show that no
1 in exercise 20 the service timenbspsnbsphas a geometric distribution withnbspes 1r assume that the service time is
1 write a computer program to simulate the queue in exercise 20 have your program keep track of the proportion of the
1 toss a fair die repeatedly letnbspsnnbspdenote the total of the outcomes through thenbspnth toss show that there is a
a perpetual craps game goes on at charleys jones comes into charleys on an evening when there have already been 100
1 two players match pennies and have between them a total of 5 pennies if at any time one player has all of the pennies
1 modify the programnbspergodicchainnbspso that you can compute the basic quan- tities for the queueing example of
1 consider the markov chain with transition matrix12 12 pnbsp 14 nbsp34find the fundamental matrixnbspznbspfor this
a computing center keeps information on a tape in positions of unit length during each time unit there is one request
1 definenbspfnbspr to be the smallest integernbspnnbspsuch that for all regular markov chains withnbsprnbspstates
we can use the gambling interpretation given in exercise 28 to find the ex- pected number of tosses required to reach
1 write a program to compute the probabilitynbspwxnbspof exercise 24 for given values ofnbspxnbspp andnbsptnbsp study
a gambler plays a game in which on each play he wins one dollar with probability p and loses one dollar with
mary and john are playing the following game they have a three-card deck marked with the numbers 1 2 and 3 and a
assume that a student going to a certain four-year medical school in northern new england has each year a