Tagged Questions

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 analysis.

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In statistics, what is the reason that makes the average height replace the median height mathematically?

In statistics, what is the reason that makes the average height replace the median height mathematically? When i searched Google there are only average height available but not median height.
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book related query

I have been solving a lot of problems in algebra, calculus, probability and statistics. But have never encountered problems that consist of every mathematical field mentioned above (at max two ...
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finding $E[X]$ of a exponential distribution with a deductable

Losses follow an exponential distribution with parameter $\theta$. For a deductible of 100, the expected payment per loss is 2000. What is the expected payment per loss for a deductible of 500? They ...
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Moment generating function for the sum

Let $r_i, i=1, \ldots, n$ be Rademacher random variables, i.e. taking values $\pm1$ with probability $\frac 12$ and such that deference of them is equal to $D$. Let $x_i, i=1, \ldots, n$ be real ...
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Determine Probability of Numbers Within a Set, Uniformly Distributed, to Sum to a Number

I have a set of numbers, for example (0,2,3,4,5,6), each with even distribution. I want to know what the chances are that some number of them (X) will add up to Y or greater. What would that formula ...
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combinatoric question - balls arrangement

In how many ways can you arrange 200 balls into 40 cells, such that the sum of balls in cells 1-20 is greater (not equal) the sum of balls in cells 21-40? So, the number of posibilities can be ...
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Quantile density function: student's t vs normal

I'm trying to show that $\frac{\exp\Big(\frac{\Phi^{-1}(x)^2}{2}\Big)}{\Big(1+\frac{\Psi^{-1}(x)^2}{\delta}\Big)^{(\delta-1)/2}}$ goes to infinity as $x$ goes to one, where $\Phi^{-1}$ denotes the ...
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Insurance deductable problem

Suppose the random variable $X$ represents the amount of damage done to a rusty Pontiac Sunfire during the 2007-2007 year. Ninety-two percent of the time, the vehicle will sustain no damage. Otherwise ...
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