Dataset - This is a synthetically generated human body temperature data from OpenAI

The objective is to find the best-fit probability distribution for the dataset and validate it.

Python

Analysis

Using the fitter, it is found that the gamma distribution fits the data most accurately.

gamma( a=312.67776317591745, loc=86.49938822098503, scale=0.03874322247561911 )

Sample and gamma conditional probabilities come close to each other, which validates the accuracy.