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DistributionParameterQ
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DistributionParameterQ

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yields True if dist is a valid distribution, and yields False otherwise.

Details

  • DistributionParameterQ checks that numeric parameters meet parameter assumptions for the input distribution dist and assumes symbolic parameters are valid.
  • DistributionParameterQ issues a message when it encounters an invalid parameter.

Examples

open allclose all

Basic Examples  (1)Summary of the most common use cases

Check a normal distribution with valid parameters:

In[1]:=1
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https://wolfram.com/xid/0e5a9ayc02t4lf-efb359
Out[1]=1

A normal distribution with invalid standard deviation:

In[2]:=2
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https://wolfram.com/xid/0e5a9ayc02t4lf-bzw0ne
Out[2]=2

Scope  (3)Survey of the scope of standard use cases

Test distributions with combinations of numeric and symbolic parameters:

In[1]:=1
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https://wolfram.com/xid/0e5a9ayc02t4lf-gx7796
Out[1]=1
In[2]:=2
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https://wolfram.com/xid/0e5a9ayc02t4lf-bqe37g
Out[2]=2

Check valid univariate and multivariate discrete and continuous distributions:

In[1]:=1
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https://wolfram.com/xid/0e5a9ayc02t4lf-bhk6xb
In[2]:=2
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https://wolfram.com/xid/0e5a9ayc02t4lf-ky735k
Out[2]=2

Check invalid distributions:

In[3]:=3
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https://wolfram.com/xid/0e5a9ayc02t4lf-fzg6cu
In[4]:=4
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https://wolfram.com/xid/0e5a9ayc02t4lf-m81fv
Out[4]=4

Test a constructed distribution:

In[1]:=1
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https://wolfram.com/xid/0e5a9ayc02t4lf-3xz7c
In[2]:=2
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https://wolfram.com/xid/0e5a9ayc02t4lf-fm8qpd
Out[2]=2

A data distribution:

In[3]:=3
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https://wolfram.com/xid/0e5a9ayc02t4lf-fb6a6o
In[4]:=4
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https://wolfram.com/xid/0e5a9ayc02t4lf-c1aazc
Out[4]=4

Applications  (1)Sample problems that can be solved with this function

Define a function for valid distributions:

In[1]:=1
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https://wolfram.com/xid/0e5a9ayc02t4lf-cjmtb5

The function evaluates on a distribution:

In[3]:=3
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https://wolfram.com/xid/0e5a9ayc02t4lf-bk3liw
Out[3]=3

It returns unevaluated for other inputs:

In[4]:=4
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https://wolfram.com/xid/0e5a9ayc02t4lf-cgl1qp
Out[4]=4

Properties & Relations  (1)Properties of the function, and connections to other functions

DistributionParameterQ assumes symbolic parameters are valid:

In[1]:=1
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https://wolfram.com/xid/0e5a9ayc02t4lf-eo9cs1
Out[1]=1

DistributionParameterAssumptions returns conditions on parameters:

In[1]:=1
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https://wolfram.com/xid/0e5a9ayc02t4lf-ykgnh
Out[1]=1

With numeric parameters, the outputs are equivalent:

In[3]:=3
✖
https://wolfram.com/xid/0e5a9ayc02t4lf-drh8c8
Out[3]=3
In[4]:=4
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https://wolfram.com/xid/0e5a9ayc02t4lf-cty9cl
Out[4]=4
Wolfram Research (2010), DistributionParameterQ, Wolfram Language function, https://reference.wolfram.com/language/ref/DistributionParameterQ.html.
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Wolfram Research (2010), DistributionParameterQ, Wolfram Language function, https://reference.wolfram.com/language/ref/DistributionParameterQ.html.

Text

Wolfram Research (2010), DistributionParameterQ, Wolfram Language function, https://reference.wolfram.com/language/ref/DistributionParameterQ.html.

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Wolfram Research (2010), DistributionParameterQ, Wolfram Language function, https://reference.wolfram.com/language/ref/DistributionParameterQ.html.

CMS

Wolfram Language. 2010. "DistributionParameterQ." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/DistributionParameterQ.html.

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Wolfram Language. 2010. "DistributionParameterQ." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/DistributionParameterQ.html.

APA

Wolfram Language. (2010). DistributionParameterQ. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/DistributionParameterQ.html

✖
Wolfram Language. (2010). DistributionParameterQ. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/DistributionParameterQ.html

BibTeX

@misc{reference.wolfram_2025_distributionparameterq, author="Wolfram Research", title="{DistributionParameterQ}", year="2010", howpublished="\url{https://reference.wolfram.com/language/ref/DistributionParameterQ.html}", note=[Accessed: 02-June-2025 ]}

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@misc{reference.wolfram_2025_distributionparameterq, author="Wolfram Research", title="{DistributionParameterQ}", year="2010", howpublished="\url{https://reference.wolfram.com/language/ref/DistributionParameterQ.html}", note=[Accessed: 02-June-2025 ]}

BibLaTeX

@online{reference.wolfram_2025_distributionparameterq, organization={Wolfram Research}, title={DistributionParameterQ}, year={2010}, url={https://reference.wolfram.com/language/ref/DistributionParameterQ.html}, note=[Accessed: 02-June-2025 ]}

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@online{reference.wolfram_2025_distributionparameterq, organization={Wolfram Research}, title={DistributionParameterQ}, year={2010}, url={https://reference.wolfram.com/language/ref/DistributionParameterQ.html}, note=[Accessed: 02-June-2025 ]}