datan

Class SmallSample

java.lang.Object

datan.SmallSample

public final class SmallSample
extends java.lang.Object

A class providing methods to compute confidence limits for small samples

Author:

Siegmund Brandt.

Constructor Summary

Constructors

Constructor and Description
SmallSample()

Method Summary

Methods

Modifier and Type	Method and Description
static double	lambdaSignalMinus(int k, double beta, double lambdaback) Returns the confidence limit lambda_signal- for a small sample in the presence of background.
static double	lambdaSignalPlus(int k, double beta, double lambdaback) Returns the confidence limit lambda_signal+ for a small sample in the presence of background.
static double	lambdaSignalUpper(int k, double beta, double lambdaback) Returns the confidence limit lambda_signal(up) for a small sample in the presence of background.
static double	ratioSignalMinus(int k, int d, double beta, double ratioback) Returns the confidence limit r_signal- for the ratio of signal and reference events in the presence of background.
static double	ratioSignalPlus(int k, int d, double beta, double ratioback) Returns the confidence limit r_signal+ for the ratio of signal and reference events in the presence of background.
static double	ratioSignalUpper(int k, int d, double beta, double ratioback) Returns the confidence limit r_signal(up) for the ratio of signal and reference events in the presence of background.

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

SmallSample

public SmallSample()

Method Detail

lambdaSignalMinus

public static double lambdaSignalMinus(int k,
                       double beta,
                       double lambdaback)

Returns the confidence limit lambda_signal- for a small sample in the presence of background.

Parameters:

k - number of observed events

beta - confidence level.

lambdaback - Poisson parameter of background.

Returns:

lambda_signal-.

lambdaSignalPlus

public static double lambdaSignalPlus(int k,
                      double beta,
                      double lambdaback)

Returns the confidence limit lambda_signal+ for a small sample in the presence of background.

Parameters:

k - number of observed events

beta - confidence level.

lambdaback - Poisson parameter of background.

Returns:

lambda_signal+.

lambdaSignalUpper

public static double lambdaSignalUpper(int k,
                       double beta,
                       double lambdaback)

Returns the confidence limit lambda_signal(up) for a small sample in the presence of background.

Parameters:

k - number of observed events

beta - confidence level.

lambdaback - Poisson parameter of background.

Returns:

lambda_signal(up).

ratioSignalMinus

public static double ratioSignalMinus(int k,
                      int d,
                      double beta,
                      double ratioback)

Returns the confidence limit r_signal- for the ratio of signal and reference events in the presence of background.

Parameters:

k - number of observed events..

d - number of reference events.

beta - confidence level.

ratioback - expected ratio of background to reference events.

Returns:

r_signal-.

ratioSignalPlus

public static double ratioSignalPlus(int k,
                     int d,
                     double beta,
                     double ratioback)

Returns the confidence limit r_signal+ for the ratio of signal and reference events in the presence of background.

Parameters:

k - number of observed events..

d - number of reference events.

beta - confidence level.

ratioback - expected ratio of background to reference events.

Returns:

r_signal+.

ratioSignalUpper

public static double ratioSignalUpper(int k,
                      int d,
                      double beta,
                      double ratioback)

Returns the confidence limit r_signal(up) for the ratio of signal and reference events in the presence of background.

Parameters:

k - number of observed events..

d - number of reference events.

beta - confidence level.

ratioback - expected ratio of background to reference events.

Returns:

r_signal(up).