Manuals/calci/NEGBINOMDIST - Revision history

Devika at 20:58, 8 August 2018

2018-08-08T20:58:55Z

Jayaram at 06:37, 13 March 2017

2017-03-13T06:37:57Z

Jayaram at 11:26, 9 March 2017

2017-03-09T11:26:03Z

Devika: /* ZOS Section */

2015-06-03T16:13:25Z

ZOS Section

Swapna at 19:13, 29 May 2015

2015-05-29T19:13:04Z

Abin: /* ZOS Section */

2014-06-27T09:27:03Z

ZOS Section

Devika: /* ZOS Section */

2014-06-09T05:05:32Z

ZOS Section

Devika at 05:04, 9 June 2014

2014-06-09T05:04:54Z

Abin: /* References */

2013-12-12T04:32:31Z

References

Abin: /* Description */

2013-11-28T11:15:17Z

Description

@@ Line 3: / Line 3: @@
 *<math>r</math> is the number of successes on an individual trial
 *<math>p</math> is the probability of a success.
 ==Description==

← Older revision		Revision as of 06:37, 13 March 2017
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−	[[Z_API_Functions \| List of Main Z Functions]]	+	*[[Z_API_Functions \| List of Main Z Functions]]

−	[[ Z3 \| Z3 home ]]	+	*[[ Z3 \| Z3 home ]]

← Older revision		Revision as of 11:26, 9 March 2017
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	==References==		==References==
	[http://en.wikipedia.org/wiki/Logarithm Logarithm]		[http://en.wikipedia.org/wiki/Logarithm Logarithm]
		+
		+
		+
		+	[[Z_API_Functions \| List of Main Z Functions]]
		+
		+	[[ Z3 \| Z3 home ]]

@@ Line 26: / Line 26: @@
 #If <math>nf<0</math> or <math>ns<1</math>
-==ZOS Section==
+==ZOS==
 *The syntax is to calculate NEGBINOMDIST in ZOS is <math>NEGBINOMDIST(x,r,p)</math>.
 **where <math>x</math> is the number of failures.

@@ Line 45: / Line 45: @@
 Here total number of events=8, r=4, x=8-4=4 and p=0.20
 NEGBINOMDIST(4,4,0.20)=0.0229376
 ==See Also==

@@ Line 32: / Line 32: @@
 **<math>p</math> is the probability of a success.
 *For e.g.,NEGBINOMDIST(8..9,5..7,0.5).
 ==Examples==

@@ Line 1: / Line 1: @@
-<div style="font-size:30px">'''NEGBINOMDIST(nf,ns,ps)'''</div><br/>
+<div style="font-size:30px">'''NEGBINOMDIST(x,r,p)'''</div><br/>
-*<math>nf</math> is the number of failures.
+*<math>x</math> is the number of failures.
-*<math>ns</math> is the number of successes on an individual trial
+*<math>r</math> is the number of successes on an individual trial
-*<math>ps</math> is the probability of a success.
+*<math>p</math> is the probability of a success.
 ==Description==
 *This function gives the Negative Binomial Distribution.
@@ Line 24: / Line 25: @@
 #If <math>ps<0</math> or <math>ps>1</math>
 #If <math>nf<0</math> or <math>ns<1</math>
 ==Examples==

← Older revision		Revision as of 04:32, 12 December 2013
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	==References==		==References==
−	[http://en.wikipedia.org/wiki/Logarithm\| Logarithm]	+	[http://en.wikipedia.org/wiki/Logarithm Logarithm]

@@ Line 6: / Line 6: @@
 *This function gives the Negative Binomial Distribution.
 *Negative Binomial Distribution is the discrete probability distribution with the fixed probability of success.
-*It is also called Pascal distribution.
+*It is also called Pascal Distribution.
 This is the statistical experiment with the following conditions:
   This experiment consists of a sequence of independent trials.
@@ Line 12: / Line 12: @@
   The probability of success is constant from trial to trial
   The trials are independent; ie, the outcome on one trial does not affect the outcome on other trials.
-  The experiment continues until <math>r</math> successes are observed, where <math>r</math> is a specified positive integer.
+  The experiment continues until <math>r</math> the successes is obtained, where <math>r</math> is a specified positive integer.
-*The random variable of  <math>x</math> = the number of failures that precede the <math>r^{th}</math> success;
+*The random variable <math>x</math> = the number of failures that precede the <math>r^{th}</math> success;
 *<math>x</math> is called a Negative Binomial Random variable because, in contrast to the
 binomial random variable, the number of successes is fixed and the number of trials is random.
-*Then probability mass function of the negative binomial distribution is:
+*Then probability mass function of the negative binomial distribution is
-nb(x;r,p)=(x+r-1 p^r (1-p)^x   r-1)
+:<math>nb(x;r,p)=(x+r-1 p^r (1-p)^x r-1)</math>
 *For example: If a fair coin is tossed repeatedly, what is the probability that at least 10 tosses are required.
 to obtain heads 8 times