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.
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Biased probability
Assume that players Terry, Tom, and Jay have biased coins with probabilities of 0.9, 0.6, and 0.4 of landing heads respectively. If the outcome of one player differs from the outcomes of the other two ...
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What can I say about the resulting variable?
Let $X$ be a continuous random variable, having pdf $f(x)$ and let be $Y=f(X)$.
I have already proved these two following results:
If $f(x)$ is strictly increasing, $Y$ has the same distribution as $...
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Calculate Outcome of the Probability of the Union of Two Events
I am working on gathering statistics about some values I observe. I will try to explain as best as I can
I have gathered enough information and what is the supposed to be the outcome when one event ...
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Method to rescale signals to mean length
I have a set of signals of varying lengths. I have provided an example of the same below -
Time Series
Their lengths vary between 186 to 202, with a mean length of 197. I am looking to rescale them ...
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IQR Outlier detection
For outlier detection i used the IQR rule. My question is, is this kind of outlier detection only useful then applied to normal distributed data?
My distribution looks like this
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Long-term chances of winning/losing in betting systems
Okay, this has been bothering my quite some time now, it might be difficult for me to explain it but please bear with me:
I will be using Martingale negative progression betting system for this ...
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Find the probability function
Find the probability function $f(x) = P(X = x)$
I have a few questions,
I could try to find $F(x) = P(X \le x)$, but I don't understand how to do this conceptually.
So the way I see it,
$A = \...
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Width of two sided hypothesis test
I'm not sure how to find the width for this. I know how to find the confidence interval had they given the sample mean, but in this case I'm not sure how I would find the width.
Any help would be ...
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Probability of losing a game of chance.
I am trying to work out the probabilities of losing a game of chance (1 in 2 chance per game) by sticking with the same answer, say heads on a coin toss.
I know there is a 1 in 2 chance of tails on ...
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Calculate specified probability
Question: Suppose that $T$ is a random variable. Given that $P(-3.3 \leq T \leq 3.3) =.775$, and that $P(T<-3.3)=P(T > 3.3)$, we are to find $P(T < -3.3)$.
How do I begin to solve this?
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Biased and Unbiased estimators
Two independent random samples $X_1, X_2, …, X_n$ and $Y_1, Y_2, …, Y_m$ are taken from a population with mean $μ$ and variance $σ^2$. The unbiased estimators $\bar X$ and $\bar Y$ of $μ$ are ...
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Does martingale model work for betting football matches?
Imagine I have 1 million USD and will be betting 1.000 USD on the win of FC Barcelona each time they play a match in La Liga (Spanish Tier 1 football league).
If FC Barcelona loses or ties their last ...
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Mathematical tools of evaluating the efficiency of a vaccination dose
I have two groups of a vaccinated people. Group A receives only two doses while the second group receives three doses. Over time, people move from Group A to group B by receiving a second dosage. Each ...
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Consistency of two measurements including means and standard deviations
This is a simplified version of a real life experiment where we have done two experiments attempt to measure the same quantity and we obtained the results $0.8 \pm 0.1$ and $1.2 \pm 0.2.$ (That's all ...
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Why is the mean higher than the median and the mode in a right skewed distribution?
If the distribution has a much higher frequency on the left side where the mode resides compared to the right side, then shouldn't the mean be about the same as the mode?
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