# Questions tagged [weibull-distribution]

The Weibull distribution is a probability distribution with applications in survival analysis, reliability engineering, failure analysis, industrial engineering, extreme value theory, weather forecasting, forestry, and more.

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### What are the operational links between exponential and weibull distribution

I recently read a very interesting article about competing risks that came with simulations. In these, the author defines a Weibull distributed variable w using an ...
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### What is the meaning of the flexsurvreg plot and its res.t

I use the flexsurverg to estimate the a weibull survival model with a time varied covariate， where “utility” is a continuous function, and the result is shown as follows, I plot the fit function and ...
1 vote
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### AFT model interpretation

I am slightly confused about the way accelerated failure time models work in comparison to proportional hazard models. Is it a correct statement that while the PH model assumes covariates multiply ...
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### Universal Approximation Capabilities of Mixture of Weibulls

Can a mixture of $N$ Weibull distributions approximate any continuous density with non-negative support, if $N$ is sufficiently large? (If so, a reference to the proof would be greatly appreciated). (...
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1 vote
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### Component reliability with an uncertain starting time

I have a lab data analysis challenge which I think can be viewed as a kind of reliability analysis problem. Imagine a warehouse is filled with light bulbs that were installed at some unknown times in ...
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### Are there any Python packages which can fit Conditional Weibull Distributions

I'm trying to fit failure data which already has a burn in time, and Im in need to use the Conditional Weibull Distribution. Are there any Python packages which have this distribution implemented?
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### Why do our devices fail?

I would like to figure out why some devices of my company fail. Therefore, I'm able to use a list in which around 300 devices are listed together with about 70 parameters while only half of it is ...
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### Predicting time to event / duration data

I've built a parametric survival model (survreg in R) to predict injury recovery duration using features such as age and treatments. I'm looking at trying model-based boosting using mboost with ...
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### How to find shape and scale parameters for a Weibull distribution in survival analysis

I am to run a superiority clinical trial and I want to fit a parametric model under the Weibull Distribution. But I am confused about how should I find the shape and scale parameters for the Weibull ...
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1 vote
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### Weibull and Lognormal Fits

I have simulated failure time data for some components. I tested whether a Weibull or lognormal distribution best fit the data. Please see Figures below. The figures provide median and $95\%$ ...
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### Estimating Right Censored Data

I'm a newbie at Math, and I am just getting my feet wet when it comes to understanding math and statistics so please forgive my ignorance or question if it's already been answered or if materials are ...
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### Decay function (e.g. weibull?) with numeric (i.e. not survival analysis) data

An example data frame: ...
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### Predict based on time using a weibull

Example data with weibull decay for growth: ...
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### Compare quality of fit, MLE vs method of moments

I have many different datasets that presumably should follow the same distribution type (but with distinct parameters). I've identified one distribution type that seems to describe best the data (...
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### Variational Autoencoder with Dirichlet distributed latent space using the Weibull Distribution

My goal is to create an VAE with an Dirichlet distributed latent space. Since the reparametrization trick does not work for the Dirichlet Distribution, I am trying to approximate the Gamma ...
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### Weibull plot to assess goodness of fit

I would like show whether my data fit a Weibull distribution. What kinds of graph should I plot? Is the following graph appropriate one and what is this called? How can I plot it in R?
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### Interpretation of Weibull Survival Time Prediction from a Survreg Object

Code is somewhat like this: ...
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### Test whether two separate Weibull distributions describe the data better than a single Weibull distribution

My question is very similar to this one, but with the Weibull distribution replacing the Poisson distribution. Let's say I am analyzing the distribution of times between failures for an engine, with ...
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### Understanding the probability distributions behind a Monte Carlo experiment

A colleague and I are trying to model the expected maintenance cost/h (E[C/h]) of a component A on an aircraft over its life based on its reliability distribution. As the component fail, it's replaced ...
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### Predicting survival/event probability with multi-level Weibull model and time-dependent covariates

I am still a beginner when it comes to survival analysis. I have fitted a parametric (Weibull) survival regression model with time-dependent covariates using the R package flexsurv via: ...
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### Inverse 4-parameters Cumulative Weibull Distribution

May someone write the inverse of the FOUR-parameters Weibull cumulative distribution (percent point function), please? I am referring to the 4-parameters formula appearing in Sigmaplot.
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### How to simulate survival data with censoring using R

I want to simulate survival data with a sample size of N=100, which follows the Weibull distribution with proportional hazards and constant baseline hazard. Two correlated covariates, which follow ...
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### What is the difference between finding the hazard function by using an NHPP and fitting a Weibull curve to the data for a repairable system?

When modelling a repairable system, one should use a non-homogeneous Poisson Process (NHPP). E.g., the moment the hazard function I use in the NHPP is a Weibull function. However, I have difficulty ...
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