# GAMMALN.PRECISE

The `GAMMALN.PRECISE` function calculates the natural logarithm of the absolute value of the gamma function for a given positive number. The gamma function is a commonly used function in mathematics and statistics. The natural logarithm of the gamma function is useful in various fields, such as physics, biology, and engineering, for modeling various phenomena.

## Usage

Use the `GAMMALN.PRECISE` formula with the syntax shown below, it has 1 required parameter:

Parameters:
1. value (required):
The positive number for which to calculate the natural logarithm of the gamma function.

## Examples

Here are a few example use cases that explain how to use the `GAMMALN.PRECISE` formula in Google Sheets.

### Calculate probability density function

Calculate the probability density function for a continuous random variable using the gamma function and the natural logarithm of the gamma function.

### Calculate cumulative distribution function

Calculate the cumulative distribution function for a continuous random variable using the gamma function and the natural logarithm of the gamma function.

### Calculate confidence intervals

Calculate confidence intervals for a population mean or proportion using the gamma function and the natural logarithm of the gamma function.

### Estimate parameters of a distribution

Estimate the parameters of a continuous probability distribution using maximum likelihood estimation and the natural logarithm of the gamma function.

### Calculate moments of a distribution

Calculate the moments of a continuous probability distribution using the gamma function and the natural logarithm of the gamma function.

## Common Mistakes

`GAMMALN.PRECISE` not working? Here are some common mistakes people make when using the `GAMMALN.PRECISE` Google Sheets Formula:

### Incorrect argument type

The value provided to the GAMMALN.PRECISE formula must be a numeric value, otherwise the formula will return an error. Make sure the input value is a number.

### Missing input value

If the GAMMALN.PRECISE formula is missing an input value, it will return an error. Make sure to include the input value.

### Invalid input value

If the input value to the GAMMALN.PRECISE formula is negative, the formula will return an error. Make sure the input value is a positive number.

### Using GAMMALN instead of GAMMALN.PRECISE

If you use the GAMMALN formula instead of GAMMALN.PRECISE, the result may be less accurate. Make sure to use the GAMMALN.PRECISE formula if you need high precision.

### Incorrect syntax

If the syntax of the GAMMALN.PRECISE formula is incorrect, it will return an error. Make sure to use the correct syntax: GAMMALN.PRECISE(value).

The following functions are similar to `GAMMALN.PRECISE` or are often used with it in a formula:

• `GAMMALN`

The `GAMMALN` function returns the natural logarithm of the absolute value of the Gamma function, Γ(x). The Gamma function is defined as an extension of the factorial function to complex and real numbers. The function is commonly used in probability theory and statistics to compute probabilities and to model continuous distributions such as the chi-squared and F distributions.

• `GAMMA.DIST`

The GAMMA.DIST function calculates the gamma distribution probability for a specified x value, alpha and beta parameters. This function is often used in statistics to model continuous data that is skewed to the right. It can be used to analyze data in various fields such as finance, engineering, and social sciences.

• `GAMMA.INV`

The `GAMMA.INV` formula returns the inverse of the cumulative distribution function for a specified probability and the Gamma distribution. It is commonly used in statistical analysis to find the value at which a specified percentage of the distribution lies. The Gamma distribution is a continuous probability distribution that is used to model the time until a certain number of events occur.

• `ERF.PRECISE`

The `ERF.PRECISE` function returns the error function integrated between the specified lower bound and upper bound.

The error function is used to calculate the probability of a value falling within a certain range of values.

You can learn more about the `GAMMALN.PRECISE` Google Sheets function on Google Support.