# Tagged Questions

The mathematical concept of a function. See http://en.wikipedia.org/wiki/Function_(mathematics)

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### Discrete asymptotically decreasing function with mass 1?

I'm looking for asymptotically decreasing functions are there where the sum (probability mass) of the value corresponding to positive integers (x=1, 2, 3, ...) is 1 in the limit. Two extras would be ...
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### Limit of Bernoulli R.V.s is a singular distribution

Working through an exercise in Probability (the question can be found in Lamperti). Let $X_1,\dots$ be independent Bernoulli random variables with $\mathbb{P}(X_i=1) = p$ and $\mathbb{P}(X_i=0)=1-p$. ...
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### Loop/Function/Formula for Combinatorics problem (also help with title) [closed]

The problem that this applies to is difficult to explain (for me), which may account for a lot of why I cannot solve it. The example below should highlight the process for which I want to come up with ...
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### If $W(t)$=$r$+$1$/$s$-$t$($1$-$q$/$s$) how can I calculate the probability density function of $W(t)$?

In this formula t is the time of arrivals (random variable) of vehicles at an intersection and W(t) is estimated delay. How can I develop the probability density function of the vehicle delays given ...
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### Expected value of a function of a multinomially distributed random variable

I have a scalar function, $g(x)$, where $x$ is an $n$-vector following a multinomial distribution with mass $f(x;p, N)$, for some probability-vector $p$, such that $\sum p_i=1$ and where $\sum x_i = N$...
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### How to find how which inputs correlate to output in XOR way

Let's say this is my function: bit f( bit bits[] ) = bits[0] ^ bits[2] ^ bits[7] ^ ... I have a list of bits[]. I ran the ...
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### Log-likelihood function for Multinomial Logistic Regression

Can you help me to calculate log-likelihood function in R code for multinomial logistic regression, if I have X as design matrix(N x K+1), Y is dependent variable matrix(N x J-1), and B as coefficient ...
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### Function for a peaked curve shape using Nonlinear Least Squares Fitting

I am looking for a function which could fit a NLS model to the below attached sample data set. The data looks somewhat gaussian, but often with a right or left skew and tails to both sides (in some ...
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### Power Function Manipulation

Assume that $X_1, \ldots, X_n$ are i.i.d. with the normal distribution that has mean $μ$ and variance $1$. Suppose that we wish to test the hypotheses $$H0: μ ≤ μ_0, \\ H1: μ > μ_0.$$ Consider ...
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### A function that measures covariance and size of random variables [closed]

I am trying to implement a function of two random variables that assigns higher values if the values of the variables are higher AND their (cross-)covariance or correlation is too. Does such a ...
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### Function optimisation with machine learning

I'm very new to machine learning. I am hoping to use this technology to optimise a function. The function is dependent on three variables, i.e. $$F(X,Y,Z)$$ I would like to use an algorithm to ...
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### Relationship between non-stationary time series

In our WiFi experiments, we usually measure the packet error rate which shows what percent of the transmitted data packets fail to arrive correctly at the destination. Imagine we run two concurrent ...
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### How to understand the geometric intuition of the inner workings of neural networks?

I've been studying the theory behind ANNs lately and I wanted to understand the 'magic' behind their capability of non-linear multi-class classification. This led me to this website which does a good ...
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### How to estimate parameters of distrubution function where CDF data is known but no sample dataset [closed]

I would be very appreciated if someone help me. I have F(x) (Cumulative density) values for specific x values which is not equal interval but I have not any sample data to estimate parameters of ...
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### RDD - function property

Is the fact the RDD draws a function that is not bijective (perhaps I am being incorrect on this point? actually there is always one x->y and a discontinuity of the function at the cut-off) related to ...
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### log hazard function in R

I'm trying to write out the log hazard function of the lognormal distribution and use this in R. Using the survival function: and the hazard function: I have the following for the log(hazard): ...
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### Using A Time Series To “Scale” Another

I know the "average theoretical cost per impression" for Jan 13 - Dec 13. I have other monthly time series for "total # of impressions", "total # of clicks" and "total number of conversions" for Jan ...
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### Calculate pdf of complex model

I'm trying to model the distribution of effects of mutations (let's call it s) in evolution but I'm stuck in generating the probability distribution function (pdf) for my model. So, my model is a ...
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