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...- Charlotte87
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- Calculations Experiment Power Sample size
- Replies: 1
- Forum: General Discussion
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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...- Charlotte87
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- Model
- Replies: 1
- Forum: Calculus and Beyond Homework Help
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Maximizing C_t with Lagrangian: First Order Condition Explained
No, I have to admitt I've never heard of it...- Charlotte87
- Post #3
- Forum: Calculus and Beyond Homework Help
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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...- Charlotte87
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- Integral Lagrange
- Replies: 2
- Forum: Calculus and Beyond Homework Help
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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!- Charlotte87
- Post #3
- Forum: Precalculus Mathematics Homework Help
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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...- Charlotte87
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- Function Mean Moment Variance
- Replies: 2
- Forum: Precalculus Mathematics Homework Help
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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)...- Charlotte87
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- Function Pdf Random Random variable Variable
- Replies: 4
- Forum: Calculus and Beyond Homework Help
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Identifying Potential σ-Fields: Exam Practice Exercises
Thankyou very much. This has been very helpful!- Charlotte87
- Post #9
- Forum: Calculus and Beyond Homework Help
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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.- Charlotte87
- Post #7
- Forum: Calculus and Beyond Homework Help
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Identifying Potential σ-Fields: Exam Practice Exercises
Sorry, my mistake, it should be {B,C}, not {A,B}.- Charlotte87
- Post #5
- Forum: Calculus and Beyond Homework Help
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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?- Charlotte87
- Post #3
- Forum: Calculus and Beyond Homework Help
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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...- Charlotte87
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- Conditional Conditional probability Exercise Probability
- Replies: 2
- Forum: Precalculus Mathematics Homework Help
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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...- Charlotte87
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- Set
- Replies: 8
- Forum: Calculus and Beyond Homework Help
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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.- Charlotte87
- Post #3
- Forum: Set Theory, Logic, Probability, Statistics
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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...- Charlotte87
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- Error Prediction Random
- Replies: 3
- Forum: Set Theory, Logic, Probability, Statistics