Recent content by Charlotte87

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    Power calculations to get sample size needed to run an experiment

    Hi everyone! I am writing a paper in development/experimental economics concerning how household bargaining power (i.e. how much say the husband and wife has about how to spend household income) affect how much money is spent on children. I am going to conduct an experiment and is now in the...
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    Log-linearizing optimal price in New Keynesian model

    Homework Statement I am going to do a log-linearization around a zero-inflation flexible price steady state of: \frac{P_{t}^{*}}{P_{t}}E_{t}\sum_{k=0}^{\infty}\theta^{k}\beta^{k}C_{t+k}^{1-\sigma}\left(\frac{P_{t+k}}{P_{t}}\right)^{\epsilon-1} Zero-inflation flexible price steady state...
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    Maximizing C_t with Lagrangian: First Order Condition Explained

    No, I have to admitt I've never heard of it...
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    Maximizing C_t with Lagrangian: First Order Condition Explained

    Homework Statement Maximize C_{t} for any given expenditure level \int_{0}^{1}P_{t}(i)C_{t}(i)di\equiv Z_{t} The Attempt at a Solution The Lagrangian is given by: L = \left(\int_{0}^{1}C_{t}(i)^{1-(1/\varepsilon)}di\right)^{\varepsilon/(\varepsilon-1)} - \lambda...
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    Calculating the mean and variance from a moment generating function

    Of course. Then var(X)=E(X^2)-(E(X))^2 =k^2+2k-k^2=2k. Thank you!
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    Calculating the mean and variance from a moment generating function

    Homework Statement Assume that X is squared-Chi-distributed, which means that the moment generating function is given by: m(t)=(1-2t)^{-k/2} Use the mgf to find E(X) and var(X) The Attempt at a Solution I know that m'(0)=E(X), and m''(0)=var(X). So I find...
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    Finding the pdf of a random variable which is a function of another rv

    Homework Statement Let f(x)=x/8 be the density of X on [0,4], zero elsewhere. a) Show that f(x) is a valid density and compute E(X) b) Define Y=1/X. Calculate E(Y) c) Determine the density function for Y The Attempt at a Solution a) is just really basic. I've solved that one. b)...
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    Identifying Potential σ-Fields: Exam Practice Exercises

    Thankyou very much. This has been very helpful!
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    Identifying Potential σ-Fields: Exam Practice Exercises

    Your right, I have been confusing it with the intersections. So, the union of all these things will be {A,B,C}, right? and that should of course be a part of the larger set.
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    Identifying Potential σ-Fields: Exam Practice Exercises

    Sorry, my mistake, it should be {B,C}, not {A,B}.
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    Identifying Potential σ-Fields: Exam Practice Exercises

    Well, I believe so. The complement of the empty set is {A,B,C}. The complement of {A,B,C} is the empty set. The complement of {A} is {B,C} The complement of {B,C} is {A}, Am I missing something?
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    Conditional probability exercise

    I have some problems getting conditional probability right... Does this look like it should? Homework Statement Assume that there are bags of tulip bulbs in the basement, ant that they contain 25 bulbs each. yellow bags contain 20 yellow tulips and 5 red tuplips, and red bags contain 15 red...
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    Identifying Potential σ-Fields: Exam Practice Exercises

    I have started to solve exercises given on a previous exam, but typically I do not have the answers. Homework Statement The question is: Which (if any) of these collections are potentially σ-fields over some sample space such that probability functions could be defined over them? Explain...
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    Undergrad Prediction error in a random sample

    But how do I know how it is distributed? There is no information about that in the exercise.
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    Undergrad Prediction error in a random sample

    I have an exercise that I do not understand how to solve (statistics and probability is really my weaker part...). The exercise goes as follow: In a certain population, the random variable Y has variance equal to 490. Two independent random samples, each of size 20, are drawn. The first...