Question:Two different computer systems are monitored for a total of n weeks. Let Xi denote the number of breakdowns of the firs...
Homework Help Question & Answers
Two different computer systems are monitored for a total of n weeks. Let Xi denote the number of breakdowns of the firs...
Two different computer systems are monitored for a total of n weeks. Let Xi denote the number of breakdowns of the first system during the ith week, and suppose the Xis are independent and drawn from a Poisson distribution with parameter A1. Similarly, let Yi denote the number of breakdowns of the second system during the ith week, and assume independence with each Yi Poisson with parameter i2. Derive the mle's of 1, A2, and i -2. [Hint: Using independence, write the joint pmf (likelihood) of the Xis and Yis together.] 2T T20 T-D T T- 7-7
Two different computer systems are monitored for a total of n weeks. Let Xi denote the number of breakdowns of the first system during the ith week, and suppose the Xis are independent and drawn from a Poisson distribution with parameter A1. Similarly, let Yi denote the number of breakdowns of the second system during the ith week, and assume independence with each Yi Poisson with parameter i2. Derive the mle's of 1, A2, and i -2. [Hint: Using independence, write the joint pmf (likelihood) of the Xis and Yis together.] 2T T20 T-D T T- 7-7
Saluhan Gven that bseakdons al the X; deno te the no.a Jis t System during the ithweek. 's ne independent and Soppase the dstibuom PoiSsion CA Panamelen with -N Sipily .e, y,- Yn then the Joint fonchon May e XnY, Y Utelihood eshimalos To Jet the manmum nb . 2 O dd -h.A da
2 0 dA dA n n, The manimym liketihood Simitatly foom D we Jet n.y Of ny -h o The Maximum ikl'hood 7W - - The Ckthood eHmadoš moximon