1: $x$ – double scalar: The argument $λ$ of the function.
2: $rcomm (322)$ – double array: This must be the same argument rcomm as returned by a previous call to nag_stat_init_vavilov (g01zu).

Optional Input Parameters

None.

Output Parameters

1: $result$ – double scalar: The result of the function.
2: $ifail$ – int64int32nag_int scalar: $ifail = 0$ unless the function detects an error (see Error Indicators and Warnings).

Error Indicators and Warnings

Errors or warnings detected by the function:

$ifail = 1$: Either the initialization function has not been called prior to the first call of this function or a communication array has become corrupted.

$ifail = - 99$: An unexpected error has been triggered by this routine. Please contact NAG.

$ifail = - 399$: Your licence key may have expired or may not have been installed correctly.

$ifail = - 999$: Dynamic memory allocation failed.

Accuracy

At least five significant digits are usually correct.

Further Comments

nag_stat_pdf_vavilov (g01mu) can be called repeatedly with different values of

λ

provided that the values of

κ

and

β^{2}

remain unchanged between calls. Otherwise, nag_stat_init_vavilov (g01zu) must be called again.

Example

This example evaluates

ϕ_{V} (λ; κ, β^{2})

λ = 2.5

κ = 0.4

and

β^{2} = 0.1

, and prints the results.

Open in the MATLAB editor: g01mu_example

function g01mu_example


fprintf('g01mu example results\n\n');

x      = 2.5;
rkappa = 0.4;
beta2  = 0.1;

fprintf('  x     rkappa    beta2        y\n\n');

% Initialize rcomm array (new value of rkappa or beta2)
mode = int64(0);
[xl, xu, rcomm, ifail] = g01zu( ...
                               rkappa, beta2, mode);

% Compute value of Vavilov density function
[y, ifail] = g01mu( ...
                    x, rcomm);

% Display results
fprintf('%4.1f%9.1f%9.1f%15.4e\n', x, rkappa, beta2, y);

g01mu example results

  x     rkappa    beta2        y

 2.5      0.4      0.1     8.3675e-02

PDF version (NAG web site, 64-bit version, 64-bit version)

Chapter Contents

Chapter Introduction

NAG Toolbox