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.

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I need to solve a problem. What branches of math should I study?

The answer seems to be 'statistics' but I assume that's about as useful as saying a person interested in gravity should study 'physics'. I anticipate a large number of data points to be delivered to me from a sensor. For purposes of discussion, say…
Tony Ennis
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What is the name of this statistical filter?

I have a piece of code that takes a noisy data set and uses some sort of statistical filter to plot a trend line over the noisy data. The original author of the code no longer works at my job, so I can't ask him what the filter is. I've included a…
Jenny K.
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Introduction to Mathematical Statistics

Let $X_1$, $X_2$, $X_3$, $X_4$ have the joint pdf $f(X_1,X_2,X_3,X_4) = 24$ , $0 < X_l < X_2 < X_3 < X_4 < 1$ , $0$ elsewhere. Find the joint pdf of $Y_1 = X_1/X_2$, $Y_2 = X_2/X_3$ , $Y_3 = X_3/X_4$, $Y_4 = X_4$ and show that they are mutually…
user48495
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Estimating number of values between a range spanning several classes in a histogram

I have been struggling with this topic for ages, and my exam is on Wednesday. I understand how to construct and read a histogram, but I cannot wrap my head around questions where you are asked to find the number of objects within a range that…
Gladiator Kittens
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ANOVA test real-life application

What are the real-life application of ANOVA test ?I used to solve question during my college day and never understood the real life application. Thanks,
sgc
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How can I calculate how many iterations of a benchmark test to do?

I have a test which benchmarks the performance of my 3D rendering software, in frames per second. I run the test for each revision of my rendering software to check that I'm improving performance. For any given revision, each test run gives a…
user838914
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a good book for Introduction to Mathematical Statistics

I am trying to read this book (Introduction to Mathematical Statistics by Robert,Joseph, Allen,7th edition) I find it hard to follow. So, can anyone please recommend another book has similar content? My background is Math bachelor level and I will…
user309851
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Showing that $\hat \theta$ is a minimum variance unbiased estimator of $\theta$

Let $X_1,X_2,\ldots,X_n$ be a random sample from a $\operatorname{Poisson}(\theta)$ distribution with probability function $$ P(X = x) = \frac {\theta^xe^{-\theta}}{x!} $$ Show that $\hat \theta$ is the minimum variance unbiased estimator of…
pkfly103
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Finding E[1/X] from E[X]

Is there a shortcut? I already have E[X] where X=Y+1, thus I can separate it into E[Y]+E[1], and for Y, it's number of tries is n, and the probability p.
Althea C
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Residuals vs fits Plot

I'm a little confused on the residuals vs fitted values plot. I take data in a table and create a scatter plot. Then I run a linear regression computation using my calculator or other program that gives me a linear regression line in the form of…
user163862
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Why do we transform data using natural logs?

I was reading an intro to stats textbook and I came across this: 'There are some standard transformations that are often applied when much of the data cluster near zero (relative to the larger values in the data set) and all observations are…
Jwan622
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Why do a before and after in a control group on a t-test

I need to split my data by dates. They want to split it in the middle of the year, before and after june. These are then made into 6 groups, before and after in the years 1999, 2000, 2001. They want to compare how much money they got before and…
unluckyforsome
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Is that possible to change any gamma distribution to $\Gamma(k=0,\theta=1)$

If a random variable $x$ follows a Gamma distribution $\Gamma(k,\theta)$, is it possible to transform the variable and make it follows $\Gamma(k=0,\theta=1)$, like we transfer the variable which follows a Gaussian distribution to Normal distribution…
Fay
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minimal number of samples for confidence interval

TV show producers want to estimate the show's rating (in percentage). What should be the minimal size of the sample for confidence of $90\%$ and confidence interval length $= 6\%$? So basing on the length formula: $$n = \frac…
blueplusgreen
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Random but even distribution of AB v. BA

I'm a software developer not a statistician, so use small words. :) I'm looking for an algorithm to generate a sequence of AB tests that are randomly distributed to users, but ensures an equal distribution. The sequence must be reproducible using a…
DaveC426913
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