unifstat
Continuous uniform mean and variance
Syntax
Description
Examples
Compute Mean and Variance
Compute the mean and variance of a continuous uniform standard distribution.
a = 0; b = 1; [m,v] = unifstat(a,b)
m = 0.5000
v = 0.0833
Create two vectors a
and b
, where a
is the lower endpoint and b
is the upper endpoint of a continuous uniform distribution. Return the mean m
and variance v
of the continuous uniform distribution defined by a
and b
.
a = 1:6; b = 2*a; [m,v] = unifstat(a,b)
m = 1×6
1.5000 3.0000 4.5000 6.0000 7.5000 9.0000
v = 1×6
0.0833 0.3333 0.7500 1.3333 2.0833 3.0000
If the lower endpoint a
is greater than or equal to the upper endpoint b
, unifstat
returns NaN
.
a = [1 2 3]; b = [3 2 1]; [m,v] = unifstat(a,b)
m = 1×3
2 NaN NaN
v = 1×3
0.3333 NaN NaN
Input Arguments
a
— Lower endpoint
numeric scalar | numeric vector | numeric array
Lower endpoint of the continuous uniform distribution, specified as a numeric scalar, vector, or array.
If a
is a numeric vector or an
array, then it must have the same size as b
. If
a
is a numeric scalar, the function expands a
to a constant matrix that has the same dimensions as b
.
Example: [0 -1 7 9]
Data Types: single
| double
b
— Upper endpoint
numeric scalar | numeric vector | numeric array
Upper endpoint of the continuous uniform distribution, specified as a numeric scalar, vector, or array.
If b
is a numeric vector or an
array, then it must have the same size as a
. If
b
is a numeric scalar, the function expands b
to a constant matrix that has the same dimensions as a
.
Example: [1 1 10 12]
Data Types: single
| double
Output Arguments
m
— Element-wise mean
numeric scalar | numeric vector | numeric array
Element-wise mean of a continuous uniform distribution, returned as a numeric scalar, vector, or array.
Each element in m
is the mean of a distribution specified by
the corresponding elements in a
and b
. If
a
and b
are not the same size,
m
is the size of a
and
b
after any necessary scalar expansion. If
a(i)
is greater than or equal to b(i)
, then
m(i)
is NaN
, where i
is
the index of an element. The mean of the continuous uniform distribution with endpoints
a and b is (a + b)/2.
v
— Element-wise variance
numeric scalar | numeric vector | numeric array
Element-wise variance of a continuous uniform distribution, returned as a numeric scalar, numeric vector, or numeric array.
Each element in v
is the variance of a distribution specified
by the corresponding elements in a
and b
. If
a
and b
are not the same size,
v
is the size of a
and
b
after any necessary scalar expansion. If
a(i)
is greater than or equal to b(i)
, then
v(i)
is NaN
, where i
is
the index of an element. The variance of the continuous uniform distribution with
endpoints a and b is (a –
b)2/12.
Extended Capabilities
C/C++ Code Generation
Generate C and C++ code using MATLAB® Coder™.
GPU Arrays
Accelerate code by running on a graphics processing unit (GPU) using Parallel Computing Toolbox™.
This function fully supports GPU arrays. For more information, see Run MATLAB Functions on a GPU (Parallel Computing Toolbox).
Version History
Introduced before R2006a
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