# Questions tagged [exponential]

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

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### Confidence intervals cross exponential regression when predictors scaled across zero but not when positive

I'm running non-linear regression analyses in R using the nls() function, and I've noticed some strange behavior with a particular analysis. If the independent variables contain both positive and ...
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### R: Fit regression to asymptotic data

I'm trying to fit a regression to data with a decreasing exponential shape, i.e.: I have two data sets which I know should conform to this shape, shown in blue and green below: So, I'd like to fit a ...
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### What is the objective function to optimize in glm with gaussian and poisson family?

I am reading this post and still confused about the different ways of fitting exponential data. Specifically, why I am getting different results with following code? Could anyone help me to write down ...
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### Inferring an approximate distribution for noising of data given 300,000 samples of human noising [closed]

I'm trying to find a statistical way to get an approximate distribution of all human noising. I have a dataset of over 300,000 samples of people noising words. I took basic Statistics and I would know ...
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### Likelihood Ratio test of exponential distribution with H0 u1=u2=u3 [closed]

Suppose that three independent random samples of sizen1,n2andn3observationsare obtained. LetX1,...,Xn1andY1,...,Yn2andZ1,...,Zn3be the three randomsamples, with sample meansXandYandZ, ...
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### Realization of a Beta distribution function from a derived Exponential function

So we have a beta distribution Y∼Beta(1,β) and a random variable X which is given by the equation X=−log(Y) I found the cumulative distribution function of Y to be Then I found the cdf of X So X is ...
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### What are the similarity and difference between fitting exponential distribution and exponential growth / decay?

A classic example of exponential growth is the population at early stage, and exponential decay will be some radioactive decay. From my understanding, they are deterministic and no randomness in there....
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### Can we infer other distributions from the distribution of the 99th percentile?

This is a fairly weird question, but I'm analysing a paper that reports its findings in a curious way; for every subject, they passively took measurements every 10 seconds for 24 hours (8640 ...
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### Fit exponential growth: should I fit the cumulative or incidents per day?

Suppose we want to fit an exponential growth model on some disease outbreak, should we use the cumulative count or incidents per day count? According to my understanding we should use the cumulative ...
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### Exponential Decay Model (Variable) in R

I'm working with a large time-series data set where I am trying to estimate the decay rate over a period of 66 months. The variables of importance to my question include: ID = Personal ID #, Date= the ...
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### Exponential Reestimation Formula in EM Algorithm

I'm trying to understand how to reestimate parameters, as part of the EM algorithm. As a simple example, I'm trying to derive the reestimation formula for an exponential distribution. Here's the setup:...
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### If number of infected people grow exponentially, is R0(basic reproduction number) the coefficient in exponential function?

I am trying to learn basic reproduction number and have a very basic question. In a given time window, If number of infected people grows exponentially, for example $N_{d+1}=1.15N_{d}$ Can we say ...
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### Survey of Deep Learning Linear Combinatorial Optimization

I have the task of developing an AI based combinatorial optimization algorithm involving a complex mix between TSP and Knapsack: A path must be found connecting millions of nodes and the cost ...
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### Exponential distribution memoryless question [closed]

Can someone explain why E[Y] = 0.9 would imply the probability in the solution?
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### Effectiveness test of intervention on number of cases

Apologies if I'm phrasing this incorrectly, I want to model the effectiveness of an intervention measure on the number of patients diagnosed with a virus (COVID-19). A hypothesis test of sorts comes ...
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### Large Set of Random Variables with Exponential Distribution

I'm struggling to understand how to solve the following problem. I have a random variable $X$ that represents the life time of a cellphone (in years) and I know that such variable follows an ...
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### Interpreting and troubleshooting nls in R with quadratic plateau model

I am trying to run a quadratic plateau model on some proportion data where values are bound between 0 and 100. I would like some help troubleshooting some errors I have encountered, and correctly ...
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### Non-monotone Survival Function?

I was given the task of plotting the graph of a survival function with the following details defined. hazardrate (lambda) = λ(t) = 0.2 (1 + sin(tπ/12)) the underlying process is exponential I am ...
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### Compare two Kolomogorov tests with exponential distribution

I try understanding implementation of Kolomogorov test for one Sample. ...
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### Mix pdf and cdf in binary response model [duplicate]

Let's suppose that I have a model that tells me how likely is for an event to have come after a certain time lapsed, given by some kind an exponential distribution, i.e.  \mathbb{P}(T_E < t) = \...
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### how to use depended / non-random observations when trying to inference exponential parameter

consider this case: There is a price rate for a certain product that changes throw time, The price rate is changed every x minutes (unknown, not constant). This price has depended / non-random ...