The widest probability distribution is the uniform distribution. The narrowest probability distribution is the Dirac delta distribution.

Shape of a probability distribution

In statistics, the concept of the shape of a probability distribution arises in questions of finding an appropriate distribution to use to model the statistical properties of a population, given a sample from that population. The shape of a distribution may be considered either descriptively, using terms such as “J-shaped”, or numerically, using quantitative measures such as skewness and kurtosis.

Considerations of the shape of a distribution arise in statistical data analysis, where simple quantitative descriptive statistics and plotting techniques such as histograms can lead on to the selection of a particular family of distributions for modelling purposes.

The normal distribution, often called the “bell curve”

Descriptions of shape

The shape of a distribution will fall somewhere in a continuum where a flat distribution might be considered central and where types of departure from this include: mounded (or unimodal), U-shaped, J-shaped, reverse-J shaped and multi-modal. A bimodal distribution would have two high points rather than one. The shape of a distribution is sometimes characterised by the behaviours of the tails (as in a long or short tail). For example, a flat distribution can be said either to have no tails, or to have short tails. A normal distribution is usually regarded as having short tails, while an exponential distribution has exponential tails and a Pareto distribution has long tails.

See also

Notes

References

Continuous data
Center
Dispersion
Shape
Count data
Summary tables
Dependence
Graphics
Study design
Survey methodology
Controlled experiments
Adaptive designs
Observational studies
Statistical theory
Frequentist inference
Point estimation
Interval estimation
Testing hypotheses
Parametric tests
Specific tests
Goodness of fit
Rank statistics
Bayesian inference
Correlation
Regression analysis
Linear regression
Non-standard predictors
Generalized linear model
Partition of variance
Categorical
Multivariate
Time-series
General
Specific tests
Time domain
Frequency domain
Survival
Survival function
Hazard function
Test
Biostatistics
Engineering statistics
Social statistics
Spatial statistics


Source: Shape of a probability distribution
Wikipedia

Video about Choose The Probability Distribution With The Widest And Narrowest Shape

The Shape of Data: Distributions: Crash Course Statistics #7

Question about Choose The Probability Distribution With The Widest And Narrowest Shape

If you have any questions about Choose The Probability Distribution With The Widest And Narrowest Shape, please let us know, all your questions or suggestions will help us improve in the following articles!

The article Choose The Probability Distribution With The Widest And Narrowest Shape was compiled by me and my team from many sources. If you find the article Choose The Probability Distribution With The Widest And Narrowest Shape helpful to you, please support the team Like or Share!

Rate Articles Shape of a probability distribution

Rate: 4-5 stars
Ratings: 8872
Views: 66832062

Search keywords Choose The Probability Distribution With The Widest And Narrowest Shape

– Bell Curve
– Normal Distribution
– Skew
– Kurtosis
– Mean
– Median
– Mode
– Variance
– Standard Deviation
– Probability Density Function
#Shape #probability #distribution