Recent content by bonfire09

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    Math Career Advice -- Wanting to become a data scientist

    I have participated in Kaggle and created a recommender system to predict whether a client would be satisfied or not even though I got around like 60% accuracy in Python using ski-kit learn/matplotlib/etc. I also worked with bagging/boosted trees as well as the standard decision trees to build...
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    Math Career Advice -- Wanting to become a data scientist

    Hi, so currently I am stuck in a situation where I currently accepted a job offer and had 5 other interviews which I never heard back from any yet. (I will have to say no if I hear back I guess and there was one I really was hoping to get but its going to be too late now). These were for data...
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    Insurance claim with normal approximation

    I assumed that like each customer pays a certain amount ##p## into the insurance company so ##10000p## is just the total value the customers pay into the company. I take that back I think your right. I don't need ##10000p## rather just ##p## itself## which should be the amount of money the...
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    Insurance claim with normal approximation

    Homework Statement There are ##N = 10000## clients of an insurance company. One-half of them will file claims with probability ##p_1 = .05##, another half of them will file claims with probability ##p_2 = .03##. Each claim is worth ##$1000##. Find the Value-at-Risk at the level α = 0.99, that...
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    How to Find Least Square Estimates for Object Weights with Normal Error?

    Oops now I fixed that. I don't know why I placed that in the first place. So I changed ##\epsilon_1+\epsilon_2## to ##\epsilon_3##. I think it looks correct now.
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    How to Find Least Square Estimates for Object Weights with Normal Error?

    Homework Statement Suppose that object 1 weighs \theta_1 and object two weights \theta_2. Then each object is weighed once and then together getting three observations y_1,y_2,y_3. The scale gives unbiased weights with normally distributed error (constant variance) Find the least square...
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    Finding the rate of convergence for a markov chain

    Actually I don't. We talked about limiting distributions and stationary distributions in class but did not cover rate of convergence. In essence I only understand the very basics. So somehow I have to show the rate of convergence with what I have so far.
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    Finding the rate of convergence for a markov chain

    I checked the eigenvectors. I had them switched. So do I use the formula right below where it "since the eigenvectors are orthonormal..."?
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    Finding the rate of convergence for a markov chain

    Homework Statement For the following Markov chain, find the rate of convergence to the stationary distribution: \begin{bmatrix} 0.4 & 0.6 \\ 1 & 0 \end{bmatrix} Homework Equations none The Attempt at a Solution I found the eigenvalues which were \lambda_1=-.6 or \lambda_2=1 . The...
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    Using approximations to the binomial distribution

    I see it is two tailed so I would use ##C=1.645## which would be my critical value.
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    Using approximations to the binomial distribution

    Homework Statement This is the problem I am given. . It is in he picture below or in the thumbnail. I was also told that since ##n## is big enough that I can use normal approximations. Homework EquationsThe Attempt at a Solution I think that ##C_{\alpha}=C_{0.1}=2.33## which I got off the...
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    Beta Distribution: Find Expected Value of X_(1)

    I'm assuming that I should be able to do this by hand then? Or will I have to use maple or some other software to this for me through iteration? Well thanks for you help. I'll try this method out tomorrow and see where I get.
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    Beta Distribution: Find Expected Value of X_(1)

    Right I did try to evaluate ##\int_{0}^{1} xf_{x_{(1)}}## but I found it difficult to try to do. I tried to evaluate it on matlab/mathematica and even then it couldn't evaluate it. Not very sure how to go about evaluating the integral.Maybe I'm not seeing it but there could be some way to...
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    Beta Distribution: Find Expected Value of X_(1)

    Homework Statement If ##X_1,..,X_n## is a random sample and has a density ##f_X(x)=6x(1-x)## for ##0<x<1##. Let ##X_{(1)}=\min(X_1,..,X_n)##. Find the ##E(X_{(1)})## (Expected Value)? Homework Equations There is an uploaded picture of the pdf I used. The Attempt at a Solution "I've been...
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    Finding the pdf and cdf of this function

    Homework Statement Let ##X## have the pdf ##f_X(x)=\dfrac{1}{\sqrt{2\pi\sigma^2}}e^{\dfrac{-(x-\mu)^2}{2\sigma^2}}## where ##-\infty<x<\infty,-\infty<\mu<\infty,\sigma>0##. Let ##Z=g(X)=\frac{X-\mu}{\sigma}##. Find the pdf and cdf of ##Z##[/B] Homework EquationsThe Attempt at a Solution...
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