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# Maximum likelihood estimators of the logistic distribution?

Updated: 11/3/2022

Wiki User

15y ago

The likelihood has to be maximized numerically, as the order statistic is minimal sufficient

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15y ago

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Q: Maximum likelihood estimators of the logistic distribution?
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### What is the maximum likelihood estimator of the Cauchy distribution?

Maximum likelihood estimators of the Cauchy distribution cannot be written in closed form since they are given as the roots of higher-degree polynomials. Please see the link for details.

### Who invented maximum likelihood classification?

Sir Ronald Fisher introduced the method of maximum likelihood estimators in 1922. He first presented the numerical procedure in 1912.

It's simple but its quality is not comparable to Maximum likelihood estimation method.

### What has the author Jon Stene written?

Jon Stene has written: 'On Fisher's scoring method for maximum likelihood estimators'

### How can you find the probability of x less than or equal to 5 after finding a maximum likelihood estimator?

The answer depends on what variable the maximum likelihood estimator was for: the mean, variance, maximum, median, etc. It also depends on what the underlying distribution is. There is simply too much information that you have chosen not to share and, as a result, I am unable to provide a more useful answer.

### What has the author M Rheinfurth written?

M. Rheinfurth has written: 'Weibull distribution based on maximum likelihood with interval inspection data' -- subject(s): Reliability (Engineering), Weibull distribution 'Methods of applied dynamics' -- subject(s): Dynamics

### A growth pattern in which population size stabilizes at a maximum limit?

This growth pattern is known as logistic growth. It occurs when a population reaches carrying capacity, the maximum number of individuals that the environment can support sustainably. At this point, birth and death rates are approximately equal, resulting in a stable population size.

### Differentiate a logistic growth pattern from an exponential growth pattern?

Exponential functions increase for all values of x, Logistic growth patterns appear to increase exponentially however they eventually platou out on a maximum y value

### What is maximum efficiency condition in distribution transformer?

The maximum efficiency condition in distribution transformer is said to be occurred when iron loss = copper loss

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Logistic growth curve shows a carrying capacity, where the population grows exponentially at first, then levels off as it reaches the maximum sustainable population size for the environment.

### What is it called when a population starts out slowly then increases rapidly and eventually flattens out at the carrying capacity?

This is called logistic growth, where a population grows rapidly at first due to abundant resources, then levels off as it reaches the carrying capacity of the environment. The carrying capacity is the maximum number of individuals that the environment can support sustainably.

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Population growth in which the growth rate decreases with increasing number of individuals until it becomes zero when the population reaches a maximum.