# Questions tagged [exponential-distribution]

A distribution describing the time between events in a Poisson process; a continuous analogue of the geometric distribution.

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### How to derive canonical link function of exponential distribution in GLM

I want to know the derivation, how to basically calculate it
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### Why does the multivariate data generated by a copula in R not exhibit the prespecified correlation?

I am using the package copula in R to generate a bivariate sample. The marginal distributions are binomial with p=0.5 and ...
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### Confusion about the probability of a continuous random variable at a given point

A person randomly chooses a battery from a store which has 80 batteries of type A and 260 batteries of type B. Battery life of type A and type B batteries are exponentially distributed with average ...
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### Unbiased test for homogeneity of means of exponenential samples

Given $K$ independent samples of $Y_{i1},\dots,Y_{in_i} \ \text{i.i.d.} \ \sim Exp(\lambda_i)$ with $i=1,\dots, K$ and $n_i$ the size of the $i$-th sample, is there any statistics with analytically ...
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### Exponential function for Poisson intensity

I'm getting confused on estimating the intensity for a Poisson process. My background in the subject is weak. Suppose I'm interested in modelling the probability of an event occurring given some input ...
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### Point estimate of exponential distribution [closed]

Let $X_1, ..., X_n \sim Exp(\lambda)$ What's the probability $p$ that $X > 1$ for $X \sim Exp(\lambda)$. $p$ should be $e^{-\lambda*1}$ I want to use only the following method for point estimate $p$...
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### Determining statistical significance on exponential variables and timeseries

I am attempting to determine statistical significance of various customer programs for farmers use of sustainable products. Farm sales of sustainable products follows roughly an exponential curve, ...
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### Poisson Process: Probability distribution to describe time (distance) to successful event?

Given some length of time $t$ with successful events occurring in this interval at rate $\lambda$. Assume that only one successful event occurs during this interval of length $t$. Which distribution ...
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### The natural parameterization of the exponential class of densities always exist?

Def. Exponential Class of Densities The density function $f\left ( \mathbf{x};\mathbf{\Theta} \right )$ is a member of the exponential class of density functions iff f\left ( \mathbf{x};\mathbf{\...
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Let $X_1 \sim \text{exp} \left( {\lambda}_1 \right)$ & $X_2 \sim \text{exp} \left( {\lambda}_2 \right)$, and they are independent. Now consider the random variable $Y = \min \left[X_1, X_2 \right]$...