Mathematics Stack Exchange
Mathematics Stack Exchange

Questions tagged [statistics]

Mathematical statistics is the study of statistics from a mathematical standpoint, using probability theory and other branches of mathematics such as linear algebra and analysis.

Statistics is the science of the collection, organization, and interpretation of data. It deals with many aspects of data, which includes the planning of data collection in terms of the design of surveys and experiments. (From Wikipedia)

More specifically, mathematical statistics is the study of statistics from a mathematical standpoint, using probability theory as well as other branches of mathematics such as linear algebra and mathematical analysis. (From Wikipedia)

For questions which are more generally about collecting and treating data, it is advised that you post your question on Cross Validated and DSSE.

37109 questions
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Determine the sample size, statistics

My professor sent us a homework question that had me puzzled. The homework consisted of four questions that were related and fifth one that is totally independent of the first four. The first four dealt with High School test scores so none of their…
Dantheman
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binomial theorem summation

Why is X2 | X1 binomial? I tried to explicitly calculate X2 | X1 but was unable to figure out the summation for the marginal of x1. Any help would be appreciated. Thanks.
icobes
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Measure Accuracy using Statistical Tool

I want to measure the accuracy of my GPS Receiver module. The real coordinates are obtained from the Google Maps, and the actual received coordinates are the ones that the GPS receiver received. I tried searching for statistical tools that can…
rav
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poisson distribution and the cdf

$Y (t)$ is the number of events occurring in $[0,1]$ where for each $t> 0$, $Y (t)~\sim\operatorname{Poi} (\lambda t)$ and $X$ measures the time taken for the $r$th event to occur. Am I right in saying that the event $(X \le t) = (Y(t) \ge…
Angie
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Bivariate distribution

We are given two independent random variables, first is $X$ which follows a normal distribution $(1,1)$ and second is $Y$ which also follows a normal distribution $(2,1)$. We are given $Z=X+Y$ and asked to find $\mathbb P(Z=0)$. Firstly is the…
user134785
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Calculating lambda in statistics

I am trying to figure out how to find lambda for a question: Compute the probability of taking at least 7 minutes to receive a call. The exponential mean is 5.
Ashley
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Calculate variance

I was given this question as HW: A survey reveals that on average 1 computer out of 800 computers crashes during a severe thunderstorm. A certain company had 4,000 working computers when the area was hit by a severe thunderstorm. Compute the…
soandos
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What is the log derivative of a gamma function with a shift in its parameters?

Forgive my ignorance here. I am going through "Latent Dirichlet Allocation" (pdf) where they state the following (just assuming common knowledge about the Dirichlet distribution): $\frac{1}{\delta\alpha_i} log \{ \Gamma (\sum_{j=1}^k \alpha_j) \} =…
Anne van Rossum
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How does effect size affect alpha?

As the effect size increases the power of a hypothesis test also increases, but what happens to alpha?
Hannah
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find a function that is an unbiased estimator

Let $X_1,X_2,...,X_n$ be a random sample from the distribution $$f(x;p)=p(1-p)^{x-1}$$ where $x=1,2,...$ and $0
Mike90
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What is the standard deviation of the score?

A card is drawn from a deck of 52. The score equal to its rank unless it is a court card (Jack, Queen or King) with a score of 10, otherwise equal to its rank and Ace counts as one. What is the standard deviation of the score?
Cece
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Poisson Statistics

Automobiles arrive at the gate of the student parking structure on a saturday morning at the rate of 6 per hour. a. what is the probability that there will be no cars arriving from from 8 A.M. to 9 A.M. next Saturday morning b. What is the…
Michael
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Showing that the mean of the dependent variable is independent of the explanatory variable.

I've currently got a stat problem that I can't immediatly interpret. I have a dataset that I have done a linear regression test on, and I have now been asked to determine if the mean of the dependent variable is independent of the explanatory…
Elswyyr
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Mean of a distribution

In an asymmetrical distribution the mode and median are respectively 12.30 and 16.42. Find the mean of the distribution.
user12290
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MLE of uniform distribution

Now before I begin, I know this question has been asked multiple times but all the answers but I had so many questions of my own that I figured I should make a new question as my thoughts are different than previous answers. Now I will ask the…
nicefella
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