Suppose a pond has N fish where N is unknown and we want to estimate it. We first capture n fish, tag each one, and rele

Business, Finance, Economics, Accounting, Operations Management, Computer Science, Electrical Engineering, Mechanical Engineering, Civil Engineering, Chemical Engineering, Algebra, Precalculus, Statistics and Probabilty, Advanced Math, Physics, Chemistry, Biology, Nursing, Psychology, Certifications, Tests, Prep, and more.
Post Reply
answerhappygod
Site Admin
Posts: 899604
Joined: Mon Aug 02, 2021 8:13 am

Suppose a pond has N fish where N is unknown and we want to estimate it. We first capture n fish, tag each one, and rele

Post by answerhappygod »

Suppose A Pond Has N Fish Where N Is Unknown And We Want To Estimate It We First Capture N Fish Tag Each One And Rele 1
Suppose A Pond Has N Fish Where N Is Unknown And We Want To Estimate It We First Capture N Fish Tag Each One And Rele 1 (44.65 KiB) Viewed 126 times
Suppose a pond has N fish where N is unknown and we want to estimate it. We first capture n fish, tag each one, and release them back to the pond. We then capture m fish, and count the tagged ones to be X. Assume n and m are known and both captures are random. (i) What is the underlying distribution of X? Show your work (ii) Suppose we observe X = r. Find the MLE of N. Hint: this is a discrete distribution, and taking derivative is not feasible. It would be easier if you think about if N = no is the MLE, how would P(X|N) change around no.
Join a community of subject matter experts. Register for FREE to view solutions, replies, and use search function. Request answer by replying!
Top
Post Reply

Return to “Archived Questions & Answers”