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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.
3
votes
Strange distribution of movie ratings
It is a case of a Bimodal Distribution which will have two Peaks.
In general , these Bimodal Distributions are a "mixtures" of 2 Unimodal Distributions , which may be hidden.
Here , I would guess (bec …
1
vote
Accepted
Percentage of values between 3 standard deviations and 4 standard deviations.
According to https://blog.masterofproject.com/six-sigma-statistics/ :
$\pm 1 \sigma : 68\%$
$\pm 2 \sigma : 95\%$
$\pm 3 \sigma : 99.73\%$
$\pm 4 \sigma : 99.9937\%$
$\pm 5 \sigma : 99.99994\%$
$\pm 6 …
1
vote
How certain distributions can be treated as normal distribution?
Practical "target output" Cases like Electrical Engineering & Chemistry & Machine Learning & Statistics might make do with $3.14159$
Like-wise :
When we have a large Data-Set & want to analyze it , we …
1
vote
Can the Monte Carlo method be used to determine whether an integral exists?
I think the Answer is Negative.
When the Integral is converging , we might use random Points on the Curve to "estimate" the value & make some way to quantify the "accuracy".
When the Integral is not c …
1
vote
6 possible options on each of 3 days. How many arrangements are possible? (Is this as terrib...
[[1 ]] Lack of Clarity :
Well , YES , the Question could be written with a little more clarity , since it can be taken in various ways.
[[ 2 ]] "Am I missing something that makes the first interpretat …
3
votes
Accepted
Comparing the dissimilarity of the order of integer sequences
There are various (Dis)Similarity measures.
(A) You have given Dot Product , which is very common.
$S=\Sigma a_ib_i$
(B) Commenter Malady has indicated Vector Norm , though there are variations there. …
1
vote
What is the conceptual misunderstanding in the hat-check problem (derangements)?
Consider this Image , where the upper line has the letters $l_1,l2,\cdots,l_n$ & the lower line has the Envelopes $E_1,E_2,\cdots,E_n$ , where I have taken Example $n=5$.
The Grey Dotted lines will Co …
0
votes
Accepted
The Collector’s Problem
Your way is not right. It will under-count & over-count certain Cases.
Let $n=8$ & $r=5$.
You want to put the $5$ in some order , then rest $3$ you want to put in-between those $5$.
Issue 1 : you are …