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Let X1, X2, ..., Xm, Y1, Y2, ..., Yn be i.i.d. N(0, 1) random variables. Then
has
  • a)
  • b)
    tn distribution
  • c)
    Fm,n distribution
  • d)
    F1,n distribution
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Let X1, X2, ..., Xm, Y1, Y2, ..., Yn be i.i.d. N(0, 1) random variable...
Sum of Xi follows N(o,m),sum of Xi/root m follows N(0,1).Hence (sum of Xi/root m)^2 follows chi square with df 1.Yi follows standard normal distribution. Sum of n Yi^2 follows chi square with df n.Then W= Chi square one/( chi square n/n) follows F1,n
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Let X1, X2, ..., Xm, Y1, Y2, ..., Yn be i.i.d. N(0, 1) random variables. Thenhasa)b)tn distributionc)Fm,n distributiond)F1,n distributionCorrect answer is option 'D'. Can you explain this answer?
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Let X1, X2, ..., Xm, Y1, Y2, ..., Yn be i.i.d. N(0, 1) random variables. Thenhasa)b)tn distributionc)Fm,n distributiond)F1,n distributionCorrect answer is option 'D'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about Let X1, X2, ..., Xm, Y1, Y2, ..., Yn be i.i.d. N(0, 1) random variables. Thenhasa)b)tn distributionc)Fm,n distributiond)F1,n distributionCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let X1, X2, ..., Xm, Y1, Y2, ..., Yn be i.i.d. N(0, 1) random variables. Thenhasa)b)tn distributionc)Fm,n distributiond)F1,n distributionCorrect answer is option 'D'. Can you explain this answer?.
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