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why this equation is correct?

Anybody can tell me why this equation is correct? Regards, Attached Images LaTeX1[1].pdf‎ (22.1 KB)

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approximating a density by using a mixture density

Is there any journal article discussing approximating a density by having a mixture density? Or even an exact conversion? I plotted a mixture density with 2 normals ( N(0,1) and N(0,3), mean and SD in...

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what is answer of this sequence?

what is answer for this sequence when we know the related series is 1/e. Regards,

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EM Algo Iterations

Dear all, Consider the EM algorithm. Does this algo has the property that the value of the objective function always decrease in an iteration step? I observed that in the implementation of the EM algo...

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Curious read Chi-sq table

for the rejection of hypothesis (2-tailed) with p=0,05 which chi-square table is correct, in example d.f.=4 and alpha=0,05. is it 0,484 (left) and 11,143 (right) or only use 9,488 (right) (i'm attached...

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A question about the distribution of random numbers - PART II

Thanks to BGM and Dragan, my problem posted under the thread " A question about the distribution of random numbers" now appears to be solved! The solution is: I do have an interesting continuation to...

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2 statistical bioresearch problems

Hello guys, I require your help in my research project. Problem 1: We are filtering a suspension of 1ml containing 1250 cells, through a micro-filter containing 1500 wells with pores. This is 80%...

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comparing pass/fail rates among teachers

Suppose there are 1,050 students all age 15 and each student is randomly assigned to one of seven different teachers. However, teachers are allowed to decide how many students they want to accept in...

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Please help! Nonindependent Random Variables

Help please! I can't for the life of me even understand how to begin understanding this question. I haven't studied stats in like 6 years and my knowledge is rusty and I had to enroll in a stats class...

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Conditional probability density function, practical example

Greetings to all the ones who are accepting to help people and greeting to the ones who are browsing in the forum! We have 2 independent random variables X and Y. X has probability density function...

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estimating population from hash table fill rate

Apologies if this is the wrong forum, but it looks reasonably close. I have a practical problem to estimate the number of actual entries in a large table, based on the fill level of a hash table. The...

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Deciding how many averages are sufficient

Hi, I am performing the following operations: All vectors have the same length. Step 1. Define a vector of constants X Step 2. Create a vector Z = X + Noise, where Noise is AWGN of N~(, ) Step 3....

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distributions of Markov Chain

Hello!I am very confused with the terms initial distribution,limiting distribution and stationary distribution of a Markov Chain. Is initial distribution the same as limiting distribution? Can someone...

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Ugh...tell me I'm reading this wrong...

Hi Everyone, New here! I had a question around the wording of a problem, as I wrap my head around it... t-distribution problem, and the wording of "significantly" specifically. I've stated the...

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Convergence rate of Bates distribution to Normal distribution

Hello, I am working on an illustration of approximating one distribution with another. Specifically, I am approximating a sample mean of N i.i.d. random variables X_i on a bounded domain [0,1] with a...

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Proving of probability

Hello! I'm new to this site, so I hope this is the right category to post my question. So here's the deal: in class we get almost only theory, very little practice and formulas. Still, we have homework...

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Pseudo-observations

Hi, I need help in understand what pseudo-observations actually are, (what transformation have they taken) and I need to know about the independance. I have calculated an independance test on R, but am...

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Defining a problem with random variables.

I am studying the following problem. Take n random normal distributions each with a common standard deviation of s. Call these d(1), d(2)...d(n). Let the means of these distributions be m(1)...

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