Tagged Questions

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

23 views

Problem involving Monte Carlo Integration

Given the probability density function (p.d.f.) of an exponential distribution, i.e., $$f_{\theta}(x) = \frac{1}{\theta}\, e^{-\frac{x}{\theta}}, \; \; \; 0 < x < \infty; \; \; \theta > 0.$$ ...
8 views

The relation of mean time between failure and the exponential distribution

Suppose that we calculate the mean time between failures(mtbf) to be $m$ by simply taking $n$ samples where $n$ is sufficiently large. Now that we know this the failure probability of the system under ...
59 views

Calculate matrix exponential without dedicated software package [closed]

Is it possible to determine the exponential of a square (non-diagonalizable) matrix without a dedicated package: for example, through a series of equations within a spreadsheet?
46 views

18 views

Distribution of lengths of randomly cut string [duplicate]

If I cut a string at random (uniformly distributed) positions, what is the distribution of lengths of the resulting fragments? From what I understand the lengths should be distributed as a negative ...
53 views

81 views

22 views

Significance of a exponential mean

A manufacturer of bulbs claim that they have a lifetime of 2000 burning hours. A sample of 100 tubes were taken at random and tested for burning. Mean life was found to be 1950 with SD of 150. Can the ...
46 views

finding the expectation of a particular distribution

I'm dealing with the exponential distribution with mu$\neq$ 0 and am trying to find some expectations. I'm stumped. can anyone take a look at it for me? here's my question. $x_1,...x_n$ are iid ...
27 views

exponential distributions of area and volume?

This seems like it should be obvious, but... In my research, I am measuring 3 variables: length, area, and volume. Our length measurements have a nice, normal distribution. Area and volume both have ...
28 views

Mean value of a (portion of an) exponential distribution satisfying a given inequality

I have some questions about exponential distributions. I have tried googling around but with no success. Imagine we have an HTTP server which serves Web pages in $x$ milliseconds, with a mean ...
43 views

81 views

correlation coefficient for exponential model - the perils of Excel

Editing a non-peer-reviewed paper I came across a Excel scatter-plot with an "exponential trend-line" drawn, AND the value of the correlation coefficient presented alongside (calculated for the ...
48 views

Self-Starting Nonlinear Regression Model

In the following two nonlinear regression models, is it possible for the dependent variable (y) or the independent variable (x) to be negative? \begin{align} y &= φ_1 \exp[-\exp(φ_2)x] + φ_3 \...
Let X and Y be independent exponential random variables with respective rate $\lambda$ and $\mu$ let c be a positive constant. I want to find out a) $E[min(X,Y)|X>c]$ b)$E[min(X,Y)|X>Y+c]$ by ...