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# Questions tagged [inverse-gaussian-distrib]

A right skew continuous probability distribution on positive real numbers.

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### Speed in m/s is normally distributed, but same data expressed as “Time for 10 meters” is not

I am trying to understand why the same data can be normally distributed if expressed in one way, but not normally distributed if expressed in another way. I have a variable that is "time taken to ...
30 views

### CDF for inverse normal distribution [duplicate]

Do you have any idea how I can get the cumulative distribution function (CDF) for inverse-normal (Gauusian) distribution? Modeler 18.2 doesn't have that specific function, and I need it to calculate a ...
46 views

### The inverse cumulative distribution of the product of two normally distributed variables

Let me preface this by saying that I am not in any sense a statistician and I might be going about this totally wrong… I am interested in calculating the inverse cumulative distribution of the ...
46 views

### Modelling Inverse Gaussian Distribution for Survival Data in R

I am fitting survival data with different distributions in order to determine what best characterises my data. I believe that the inverse gaussian distribution may be a good fit but I have been having ...
37 views

### Inverse Gaussian Distribution and the Central Limit Theorem

Let the random variables $Y_1,\ldots,Y_n$ be independent and identically distributed (i.i.d.) (standard) Inverse Gaussian random variables with parameters $\mu$ and $\lambda$. Then, let the random ...
52 views

### Minimum of n independent, but not identically distributed inverse Gaussians

I would like to find the probability distribution of the minimum of of n independent, but not identically distributed, i.e. differently parametrized inverse Gaussians. I would prefer an analytical ...
3k views

### Do test scores really follow a normal distribution?

I've been trying to learn which distributions to use in GLMs, and I'm a little fuzzled on when to use the normal distribution. In one part of my textbook, it says that a normal distribution could be ...
188 views

### How to get the prediction std using Gaussian Process in Scikit-Learn

I'm fitting some data using Gaussian Process (GP) in Scikit-Learn. As I understand, the GP requires to scale both X (input features) and Y (outputs) to standard normal distribution (mean = 0 and std = ...
86 views

Suppose $X$ has pdf $I(\mu, \tau)$ with density, $$\sqrt{\frac{\tau}{2\pi x^{3}}}\exp\{-\frac{\tau}{2x\mu^{2}}(x-\mu)^2\}\quad; x>0, \quad \tau,\mu>0$$ I want to find the distribution of $V = \... 0answers 933 views ### Fitting GLM (family = inverse.gaussian) on simulated AR(1)-data I am encountering quite an annoying and to me incomprehensible problem, and I hope some of you can help me. I am trying to estimate the autoregression (influence of previous measurements of variable X ... 1answer 982 views ### Exponential Family with Dispersion Parameter Distributions Defining the exponential dispersion family by$exp\left(\frac{x_{i}\theta - b(\theta_{i})}{\phi} + c(x_{i}, \phi, w_{i})\right)$I'd like to change the usual Inverse-Gaussian density below to the ... 1answer 117 views ### Deriving Inverse Gaussian as First Passage Time of Wiener Process Chhikara and Folks (1988) show that the inverse gaussian distribution arises as the first passage time for a wiener process. However, there are several steps I don't quite understand. In particular, ... 2answers 2k views ### Python: Gaussian Copula or inverse of cdf Let's say I have a column x with uniform distributed values. To these values, I applied a cdf-function. Now I want to calculate the Gaussian Copula, but I can't find the function in python. I read ... 0answers 366 views ### GLMM inverse gaussian and treatment contrasts (response times) I've been trying to analyse a dataset of response times following Lo & Andrews' (2015) proposal here: https://doi.org/10.3389/fpsyg.2015.01171 They propose using a GLMM that assumes a Gamma or ... 2answers 590 views ### Which Single Summary Statistic to use for Inverted Bell Curve (Bimodal Distribution)? I've collected some datasets for which I want to report a summary statistic. I produced normal probability plots for the datasets, and the data does not conform to a Gaussian distribution - there are ... 0answers 37 views ### Gaussian Bivariate Copulas Inconsistent Reasoning While studying Gaussian copulas, I have stumbled accross a question which seems to result from wrong reasoning. In the arguments below, where have I gone wrong? Let$c(u, v)$denote the density of ... 1answer 68 views ### Distributions with undefined parameters I am studying the Bayesian Lasso and noticed something interesting on Page 682 at the bottom of the second column here Some background: a hierarchical setup for data$X, y$, regression coefficients,$...
We are given 1) Y = $(Y_1,Y_2,...,Y_n)^T$ ~ Exponential 2) E[Y] = $\mu$ = X$\beta$, where X $\in R^{nxr}$ and $\beta \in R^r$ My question is can we apply the glm in this case? The case where the ...