Manuals/calci/BETADIST - Revision history

Devika: /* Examples */

2020-06-02T09:57:18Z

Examples

Devika at 21:52, 10 August 2018

2018-08-10T21:52:13Z

Devika: /* Description */

2018-06-12T22:19:10Z

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Devika at 22:15, 12 June 2018

2018-06-12T22:15:11Z

Devika at 22:14, 12 June 2018

2018-06-12T22:14:37Z

Devika: /* Description */

2018-01-19T21:23:33Z

Description

Devika: /* Description */

2018-01-19T21:23:02Z

Description

Devika: /* Description */

2018-01-19T21:22:20Z

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Devika: /* Description */

2018-01-19T21:18:56Z

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Devika: /* Description */

2018-01-19T21:17:51Z

Description

@@ Line 38: / Line 38: @@
 #=BETADIST(3,5,9,2,6) = 0.20603810250759128
 #=BETADIST(9,4,2,8,11) = 0.04526748971193415
-#=BETADIST(5,-1,-2,4,7) = #ERROR
+#=BETADIST(5,-1,-2,4,7) = #N/A (ALPHA GREATER THAN (OR) NOT EQUAL TO 0)
 ==Related Videos==

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 *<math>Alpha</math> and <math>Beta</math> are the value of the shape parameter
 *<math>LowerBound</math> & <math>UpperBound</math> the lower and upper limit to the interval of <math>Number</math>.
 ==Description==

@@ Line 12: / Line 12: @@
 *Beta is the value of the shape parameter
 *<math>LowerBound</math> and <math>UpperBound</math>(optional) are  the Lower and Upper limit to the interval of <math>Number</math>.
-*Normally <math>Number</math> lies between the limit <math>LowerBound</math> and <math>UpperBound</math>, suppose when we are omitting  <math>a</math> and <math>b</math> value, by default <math>x</math> value with in 0 and 1.
+*Normally <math>Number</math> lies between the limit <math>LowerBound</math> and <math>UpperBound</math>, suppose when we are omitting  <math>LowerBound</math> and <math>UpperBound</math> value, by default <math>Number</math> value with in 0 and 1.
 *The Probability Density Function of the beta distribution is:
 <math>f(x)=\frac{x^{\alpha-1}(1-x)^{ \beta-1}}{B(\alpha,\beta)},</math> where <math>0 \le x \le 1</math>; <math>\alpha,\beta >0 </math> and <math>B(\alpha,\beta)</math> is the Beta function.

@@ Line 2: / Line 2: @@
 *<math>Number</math> is the value between <math>LowerBound</math> and <math>UpperBound</math>
 *<math>Alpha</math> and <math>Beta</math> are the value of the shape parameter
-*<math>LowerBound</math> & <math>UpperBound</math> the lower and upper limit to the interval of <math>x</math>.
+*<math>LowerBound</math> & <math>UpperBound</math> the lower and upper limit to the interval of <math>Number</math>.
 ==Description==

@@ Line 1: / Line 1: @@
-<div style="font-size:30px">'''BETADIST(x,alpha,beta,a,b)'''</div><br/>
+<div style="font-size:30px">'''BETADIST (Number,Alpha,Beta,LowerBound,UpperBound)'''</div><br/>
-*<math>x</math> is the value between <math>a</math> and <math>b</math>
+*<math>Number</math> is the value between <math>LowerBound</math> and <math>UpperBound</math>
-*alpha and beta are the value of the shape parameter
+*<math>Alpha</math> and <math>Beta</math> are the value of the shape parameter
-*<math>a</math> & <math>b</math> the lower and upper limit to the interval of <math>x</math>.
+*<math>LowerBound</math> & <math>UpperBound</math> the lower and upper limit to the interval of <math>x</math>.
 ==Description==
@@ Line 8: / Line 8: @@
 *The beta distribution is a family of Continuous Probability Distributions defined on the interval [0, 1] parameterized by two positive shape parameters, denoted by <math>\alpha</math> and <math>\beta</math>.
 *The Beta Distribution is also known as the Beta Distribution of the first kind.
-*In <math>BETADIST(x,\alpha,\beta,a,b)</math>, <math>x</math> is the value between <math>a</math> and <math>b</math>.
+*In <math>(Number,Alpha,Beta,LowerBound,UpperBound)</math>, <math>Number</math> is the value between <math>LowerBound</math> and <math>UpperBound</math>.
-*alpha is the value of the shape parameter.
+*Alpha is the value of the shape parameter.
-*beta is the value of the shape parameter
+*Beta is the value of the shape parameter
-*<math>a</math> and <math>b</math>(optional) are  the Lower and Upper limit to the interval of <math>x</math>.
+*<math>LowerBound</math> and <math>UpperBound</math>(optional) are  the Lower and Upper limit to the interval of <math>Number</math>.
-*Normally <math>x</math> lies between the limit <math>a</math> and <math>b</math>, suppose when we are omitting  <math>a</math> and <math>b</math> value, by default <math>x</math> value with in 0 and 1.
+*Normally <math>Number</math> lies between the limit <math>LowerBound</math> and <math>UpperBound</math>, suppose when we are omitting  <math>a</math> and <math>b</math> value, by default <math>x</math> value with in 0 and 1.
 *The Probability Density Function of the beta distribution is:
 <math>f(x)=\frac{x^{\alpha-1}(1-x)^{ \beta-1}}{B(\alpha,\beta)},</math> where <math>0 \le x \le 1</math>; <math>\alpha,\beta >0 </math> and <math>B(\alpha,\beta)</math> is the Beta function.
@@ Line 19: / Line 19: @@
 *This function will give the result as error when
 .Any one of the arguments are non-numeric.
-.<math>\alpha \le 0</math> or <math>\beta \le 0</math>
+.<math>Alpha \le 0</math> or <math>Beta \le 0</math>
-.<math>x<a</math> ,<math>x>b</math>, or <math>a=b</math>
+.<math>Number<LowerBound</math> ,<math>Number>UpperBound</math>, or <math>LowerBound=UpperBound</math>
-*we are not mentioning the limit values <math>a</math> and <math>b</math>,
+*we are not mentioning the limit values <math>LowerBound</math> and <math>UpperBound</math>,
-*By default it will consider the Standard Cumulative Beta Distribution, a = 0 and b = 1.
+*By default it will consider the Standard Cumulative Beta Distribution, LowerBound = 0 and UpperBound = 1.
 ==ZOS==

@@ Line 16: / Line 16: @@
 <math>f(x)=\frac{x^{\alpha-1}(1-x)^{ \beta-1}}{B(\alpha,\beta)},</math> where <math>0 \le x \le 1</math>; <math>\alpha,\beta >0 </math> and <math>B(\alpha,\beta)</math> is the Beta function.
 *The formula for the Cumulative Beta Distribution is called the Incomplete Beta function ratio and it is denoted by <math>I_x</math> and is defined as :
-<math>F(x)=I_x(\alpha,\beta)</math>=<math>\int_{0}^{x}<math>f(x)=\frac{t^{\alpha-1}(1-t)^{ \beta-1}dt}{B(\alpha,\beta)}</math>,  where <math>0 \le x \le 1</math> ; <math>\alpha,\beta>0</math> and <math>B(\alpha,\beta)</math> is the Beta function.
+<math>F(x)=I_x(\alpha,\beta)</math>=<math>\int_{0}^{x}f(x)=\frac{t^{\alpha-1}(1-t)^{ \beta-1}dt}{B(\alpha,\beta)}</math>,  where <math>0 \le t \le 1</math> ; <math>\alpha,\beta>0</math> and <math>B(\alpha,\beta)</math> is the Beta function.
 *This function will give the result as error when
 .Any one of the arguments are non-numeric.

@@ Line 27: / Line 27: @@
 <math>t^{\alpha−1} </math>
 <math>{x^{\alpha-1}</math>
-<math>f(x)=\frac{x^{\alpha-1}(1-x)^{ \beta-1}}{B(\alpha,\beta)},</math>
+<math>f(x)=\frac{t^{\alpha-1}(1-t)^{ \beta-1}dt}{B(\alpha,\beta)},</math>
 ==ZOS==