Difference between revisions of "Manuals/calci/DISCRETE"

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(Created page with "<div id="6SpaceContent" class="zcontent" align="left"> '''RANDOMNUMBERGENERATION'''(Number, RandomNumber, Distribution,  NewTableFlag, Value, Probability) where, ''...")
 
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=RANDOMNUMBERGENERATION(NumVariable,RandomNumber,Distribution,NewTableFlag,ValueArr,Probability)=
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'''RANDOMNUMBERGENERATION'''(Number, RandomNumber, Distribution,  NewTableFlag, Value, Probability)
 
  
 
where,
 
where,
 +
*<math>NumVariable</math> represents the number of columns for displaying the random numbers,
 +
*<math>RandomNumber</math> represents the number of rows for displaying the random numbers,
 +
*<math>Distribution</math> is the distribution method (i.e. "Discrete") for creating random values,
 +
*<math>NewTableFlag</math> is the flag TRUE or FALSE.
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*<math>ValueArr</math> represents the array of values,
 +
*<math>Probability</math> are the probability values between 0 to 1.
  
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'''Number '''- represents the number of variables.
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DISCRETE RANDOMNUMBERGENERATION() is used to display the random numbers within finite range.
  
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'''RandomNumber '''- represents the number of random number
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=Description=
  
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'''Distribution '''- represents the distribution method(i.e discrete) to create random values.
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RANDOMNUMBERGENERATION(NumVariable,RandomNumber,"Discrete",ValueArr,Probability)
  
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'''NewTableFlag''' - is the TRUE or FALSE.If set as TRUE,the result in new sheet. If NewTableFlag is omitted, it assumed to be FALSE.
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*A discrete distribution is a distribution of a random variable that takes only finite set of values.
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*If <math>NewTableFlag</math> is TRUE, the result is displayed on new zspace.  
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*If <math>NewTableFlag</math> is FALSE, the result is displayed on the same zcube. If omitted, it is assumed to be FALSE.
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*If <math>NumVariable</math> &lt;0 or <math>RandomNumber</math> &lt;0, Calci displays an error message.
 +
*If <math>Probability</math> &lt;0 or <math>Probability</math> &gt;1, Calci displays an error message.
 +
*The addition of all probability values should be equal to '1'. Else Calci displays an error message.
  
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'''ValueArr '''- represents the values.
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=Examples=
  
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'''Probability '''- represents the probability value.
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=RANDOMNUMBERGENERATION(3,4,"Discrete",TRUE,[4,5,6,3,2,1],[0.2,0.1,0.3,0.2,0.1,0.1])
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 +
The above command displays the random numbers from the ValueArr with the respective probabilities in 3 columns and 4 rows in a separate zspace as -
  
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</div>
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{| class="wikitable"
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----
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|-
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<div id="1SpaceContent" class="zcontent" align="left">A discrete distribution is a distribution of a random variable that takes only finite set of values</div>
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<div id="7SpaceContent" class="zcontent" align="left">
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|-
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Lets see an example in (Column1Row1)
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<nowiki>=RANDOMNUMBERGENERATION(3, 4, "discrete", TRUE,[4,5,6,3,2,1],[0.2,0.1,0.3,0.2,0.1,0.1])</nowiki>
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| 1 || 3 || 3
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RANDOMNUMBERGENERATION returns the result in new sheet(13Space).
 
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<nowiki>=RANDOMNUMBERGENERATION(5, 4, "discrete", TRUE, [2,1],[0.3,0.9])</nowiki>
 
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RANDOMNUMBERGENERATION returns the #ERROR(sumofProbability &gt;1).
 
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</div>
 
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<div id="12SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="left">
 
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RANDOM NUMBER GENERATION : DISCRETE
 
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</div></div>
 
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<div id="10SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Syntax </div><div class="ZEditBox"><center></center></div></div>
 
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<div id="4SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Remarks </div></div>
 
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<div id="3SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Examples </div></div>
 
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<div id="11SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Description </div></div>
 
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<div id="8SpaceContent" class="zcontent" align="left">
 
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If Number &lt; 0 or RandomNumber &lt; 0, RANDOMNUMBERGENERATION returns the #ERROR.
 
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RANDOMNUMBERGENERATION returns the #ERROR, if Probability&lt; 0 or Probability &gt;1.
 
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</div>
 
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{| id="TABLE1" class="SpreadSheet blue"
 
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|+ Random Number Generation<br />Binomial Distribution
 
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{| id="TABLE2" class="SpreadSheet blue"
 
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|+ Random Number Generation<br />Poisson Distribution
 
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</div>
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=RANDOMNUMBERGENERATION(2,5,"Discrete",TRUE,[10,11,10.5],[0.4,0.4,0.2])
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The above command displays the random numbers from the ValueArr with the respective probabilities in 2 columns and 5 rows in the same zspace as command -
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<div id="2SpaceContent" class="zcontent" align="left">
 
  
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{| id="TABLE3" class="SpreadSheet blue"
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{| class="wikitable"
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|+ Default Calci
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| Column1
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| class="    SelectTD1 ChangeBGColor SelectTD1" |
 
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<div id="2Space_Handle" class="zhandles" title="Click and Drag to resize CALCI Column/Row/Cell. It is EZ!"></div><div id="2Space_Copy" class="zhandles" title="Click and Drag over to AutoFill other cells."></div><div id="2Space_Drag" class="zhandles" title="Click and Drag to Move/Copy Area.">[[Image:copy-cube.gif]]  </div>
 
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{|
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== See Also ==
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| <span align="left">[[Image:calci1.gif]]</span>
 
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[[Image:bold.gif]]
 
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[[Image:italic.gif]]
 
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[[Image:normal.gif]]
 
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[[Image:numbers.gif]]
 
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[[Image:sort.gif]]
 
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[[Image:formatcells.gif]]
 
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[[Image:graphs.gif]]
 
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| $
 
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</div>
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*[[Manuals/calci/RANDOMNUMBERGENERATION | RANDOMNUMBERGENERATION]]
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*[[Manuals/calci/PATTERNED | PATTERNED]]
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<div id="13SpaceContent" class="zcontent" align="left">
 
  
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{| class="SpreadSheet blue"
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== References ==
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|+ Random Number Generation<br />Discrete Distribution
 
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*[http://en.wikipedia.org/wiki/Random_number_generation Random Number Generation]
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*[http://en.wikipedia.org/wiki/Probability_distribution#Discrete_probability_distribution Discrete Probability Distribution]

Revision as of 15:57, 30 March 2014

RANDOMNUMBERGENERATION(NumVariable,RandomNumber,Distribution,NewTableFlag,ValueArr,Probability)

where,

  • represents the number of columns for displaying the random numbers,
  • represents the number of rows for displaying the random numbers,
  • is the distribution method (i.e. "Discrete") for creating random values,
  • is the flag TRUE or FALSE.
  • represents the array of values,
  • are the probability values between 0 to 1.

DISCRETE RANDOMNUMBERGENERATION() is used to display the random numbers within finite range.

Description

RANDOMNUMBERGENERATION(NumVariable,RandomNumber,"Discrete",ValueArr,Probability)

  • A discrete distribution is a distribution of a random variable that takes only finite set of values.
  • If is TRUE, the result is displayed on new zspace.
  • If is FALSE, the result is displayed on the same zcube. If omitted, it is assumed to be FALSE.
  • If <0 or <0, Calci displays an error message.
  • If <0 or >1, Calci displays an error message.
  • The addition of all probability values should be equal to '1'. Else Calci displays an error message.

Examples

=RANDOMNUMBERGENERATION(3,4,"Discrete",TRUE,[4,5,6,3,2,1],[0.2,0.1,0.3,0.2,0.1,0.1])

The above command displays the random numbers from the ValueArr with the respective probabilities in 3 columns and 4 rows in a separate zspace as -

3 1 3
4 4 6
3 6 6
1 3 3 


=RANDOMNUMBERGENERATION(2,5,"Discrete",TRUE,[10,11,10.5],[0.4,0.4,0.2])

The above command displays the random numbers from the ValueArr with the respective probabilities in 2 columns and 5 rows in the same zspace as command -

10 11
11 10
10.5 11
10.5 11
10 11

See Also

References

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