Recent content by icedsake
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Last 4 digits of a^1000 Prediction?
would there be a formula?- icedsake
- Post #4
- Forum: Calculus and Beyond Homework Help
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Last 4 digits of a^1000 Prediction?
Homework Statement for 2<= a <=10 what is the last 4 digits of a^1000? What is the criterion for the prediction of the last 4 digits from a?- icedsake
- Thread
- Replies: 5
- Forum: Calculus and Beyond Homework Help
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Graduate Maximizing θ with Probability Mass Function and Marbles Data
thanks for the clarifications =)- icedsake
- Post #9
- Forum: Set Theory, Logic, Probability, Statistics
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Graduate Maximizing θ with Probability Mass Function and Marbles Data
hmm..so in this case i should use the multinomial prob. mass function to get the likelihood function.. then take the natural log of it correct? Do I differentiate now and how do I arrive at the estimate for theta?- icedsake
- Post #7
- Forum: Set Theory, Logic, Probability, Statistics
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Graduate Maximizing θ with Probability Mass Function and Marbles Data
i'm a little lost at this point, in the above section it says that for example green marbles is modeled by a r.v. N1 with a binomial (n, 1/4(θ+2)) distribution and blue is modeled by r.v. N2 with a binomial (n,1/4(θ)) dist. where n in both cases is total # of marbles (3839 in this case) so I'm...- icedsake
- Post #5
- Forum: Set Theory, Logic, Probability, Statistics
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Graduate Maximizing θ with Probability Mass Function and Marbles Data
oops i left out that x=1,2,3,4 are of binomial distributions... would the likelihood function be the pmf of binomial dist.? = (nCx) p^x (1-p)^(n-x) and the loglikelihood function be: L(p)= log(nCx) + xlog(p) + (n-x)log(1-p) ??- icedsake
- Post #3
- Forum: Set Theory, Logic, Probability, Statistics
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Graduate Maximizing θ with Probability Mass Function and Marbles Data
in need of help for how to do this question given probability mass function: x 1 2 3 4 p(x) 1/4(θ+2) 1/4(θ) 1/4(1-θ) 1/4(1-θ) Marbles 1=green 2=blue 3=red 4=white For 3839 randomly picked marbles green=1997 blue=32 red=906...- icedsake
- Thread
- Estimate Likelihood Maximum Maximum likelihood
- Replies: 8
- Forum: Set Theory, Logic, Probability, Statistics