Template:LogisticDistribution - Revision history

Lisa Hacker: Redirected page to The Logistic Distribution

2012-08-09T09:57:22Z

Redirected page to The Logistic Distribution

← Older revision		Revision as of 09:57, 9 August 2012
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	[[~~Category: For Deletion~~]]		#REDIRECT [[The Logistic Distribution]]

Lisa Hacker: Replaced content with 'Category: For Deletion'

2012-07-20T12:21:08Z

Replaced content with 'Category: For Deletion'

← Older revision		Revision as of 12:21, 20 July 2012
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	~~=== The Logistic Distribution ===~~		[[Category: For Deletion]]

	The logistic distribution has a shape very similar to the normal distribution (i.e., bell shaped), but with heavier tails. Since the logistic distribution has closed form solutions for the reliability, <span class="texhtml">''cdf''</span> and failure rate functions, it is sometimes preferred over the normal distribution, where these functions can only be obtained numerically. The <span class="texhtml">''pdf''</span> of the logistic distribution is given by: <br>

	~~::<math>\begin{align}~~
	~~f(t)= & \frac{e^z}{\sigma {(1+{e^z})^{2}}} \\~~
	~~z= & \frac{t-\mu }{\sigma } \\~~
	~~\sigma > & 0~~
	~~\end{align}</math>~~

	~~<br>where:~~

	~~::<math>\begin{align}~~
	~~\mu = & \text{location parameter (also denoted as }\overline{T}) \\~~
	~~\sigma = & \text{scale parameter}~~
	~~\end{align}</math>~~

	~~The logistic distribution and its characteristics are presented in~~ [[~~The Logistic Distribution~~]].

	~~<br>~~

Lisa Hacker: /* The Logistic Distribution */

2012-03-30T21:45:00Z

The Logistic Distribution

← Older revision		Revision as of 21:45, 30 March 2012
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	\end{align}</math>		\end{align}</math>

	The logistic distribution and its characteristics are presented ~~in detail~~ in [[The Logistic Distribution]].		The logistic distribution and its characteristics are presented in [[The Logistic Distribution]].

	<br>		<br>

Lisa Hacker: /* The Logistic Distribution */

2012-03-30T21:35:49Z

The Logistic Distribution

← Older revision		Revision as of 21:35, 30 March 2012
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	<br>where:		<br>where:

	::<~~span class="texhtml"~~>μ = location parameter,also denoted as ~~</span><math>~~\overline{T}~~</math>~~		::<math>\begin{align}
	~~::<span class="texhtml">σ~~ = scale parameter</~~span~~>		\mu = & \text{location parameter (also denoted as }\overline{T}) \\
			\sigma = & \text{scale parameter}
			\end{align}</math>

	The logistic distribution and its characteristics are presented in detail in [[The Logistic Distribution]].		The logistic distribution and its characteristics are presented in detail in [[The Logistic Distribution]].

	<br>		<br>

Lisa Hacker: /* The Logistic Distribution */

2012-03-30T21:35:24Z

The Logistic Distribution

← Older revision		Revision as of 21:35, 30 March 2012
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	::<span class="texhtml">σ = scale parameter</span>		::<span class="texhtml">σ = scale parameter</span>

	The logistic distribution and its characteristics are presented in detail in ~~the chapter~~ [[The Logistic Distribution]].		The logistic distribution and its characteristics are presented in detail in [[The Logistic Distribution]].

	<br>		<br>

Lisa Hacker: Undo revision 23432 by Lisa Hacker (Talk)

2012-03-30T21:35:10Z

Undo revision 23432 by Lisa Hacker (Talk)

← Older revision		Revision as of 21:35, 30 March 2012
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	<br>where:		<br>where:

	::<~~math~~>μ~~</math>~~ = location parameter, also denoted as <math>\overline{T}</math>		::<span class="texhtml">μ = location parameter,also denoted as </span><math>\overline{T}</math>
	::<~~math~~>σ~~</math>~~ = scale parameter</span>		::<span class="texhtml">σ = scale parameter</span>

	The logistic distribution and its characteristics are presented in detail in [[The Logistic Distribution]].		The logistic distribution and its characteristics are presented in detail in the chapter [[The Logistic Distribution]].

	<br>		<br>

Lisa Hacker: /* The Logistic Distribution */

2012-03-30T21:34:41Z

The Logistic Distribution

← Older revision		Revision as of 21:34, 30 March 2012
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	<br>where:		<br>where:

	::<~~span class="texhtml"~~>μ = location parameter,also denoted as ~~</span>~~<math>\overline{T}</math>		::<math>μ</math> = location parameter, also denoted as <math>\overline{T}</math>
	::<~~span class="texhtml"~~>σ = scale parameter</span>		::<math>σ</math> = scale parameter</span>

	The logistic distribution and its characteristics are presented in detail in ~~the chapter~~ [[The Logistic Distribution]].		The logistic distribution and its characteristics are presented in detail in [[The Logistic Distribution]].

	<br>		<br>

Kate Racaza at 16:16, 12 March 2012

2012-03-12T16:16:30Z

← Older revision		Revision as of 16:16, 12 March 2012
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	===The Logistic Distribution===		=== The Logistic Distribution ===
	The logistic distribution has a shape very similar to the normal distribution (''i.e.'' bell shaped), but with heavier tails. Since the logistic distribution has closed form solutions for the reliability, <~~math~~>cdf</~~math~~> and failure rate functions, it is sometimes preferred over the normal distribution, where these functions can only be obtained numerically.
	The <~~math~~>pdf</~~math~~> of the logistic distribution is given by:		The logistic distribution has a shape very similar to the normal distribution (i.e., bell shaped), but with heavier tails. Since the logistic distribution has closed form solutions for the reliability, <span class="texhtml">''cdf''</span> and failure rate functions, it is sometimes preferred over the normal distribution, where these functions can only be obtained numerically. The <span class="texhtml">''pdf''</span> of the logistic distribution is given by: <br>
	<br>
	::<math>\begin{align}		::<math>\begin{align}
	f(t)= & \frac{e^z}{\sigma {(1+{e^z})^{2}}} \\		f(t)= & \frac{e^z}{\sigma {(1+{e^z})^{2}}} \\
Line 8:		Line 8:
	\sigma > & 0		\sigma > & 0
	\end{align}</math>		\end{align}</math>
	~~<br>~~
	~~where:~~
	~~::<math> \mu = \text{location parameter,also denoted as }</math> <math>\overline{T}</math>~~
	~~::<math> \sigma=\text{scale parameter} </math>~~

	The logistic distribution and its characteristics are presented in ~~more~~ detail in ~~Chapter~~ [[The Logistic Distribution]].		<br>where:

			::<span class="texhtml">μ = location parameter,also denoted as </span><math>\overline{T}</math>
			::<span class="texhtml">σ = scale parameter</span>

			The logistic distribution and its characteristics are presented in detail in the chapter [[The Logistic Distribution]].

	<br>		<br>

Harry Guo: /* The Logistic Distribution */

2012-02-10T23:59:31Z

The Logistic Distribution

← Older revision		Revision as of 23:59, 10 February 2012
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	::<math> \sigma=\text{scale parameter} </math>		::<math> \sigma=\text{scale parameter} </math>

	The logistic distribution and its characteristics are presented in more detail in [[The Logistic Distribution~~\|Chapter 14~~]].		The logistic distribution and its characteristics are presented in more detail in Chapter [[The Logistic Distribution]].

	<br>		<br>

Harry Guo: /* The Logistic Distribution */

2012-02-06T16:43:05Z

The Logistic Distribution

← Older revision		Revision as of 16:43, 6 February 2012
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	<br>		<br>
	where:		where:
	::<math> \mu = \text{location parameter,also denoted as }</math> <math>\overline{t}</math>		::<math> \mu = \text{location parameter,also denoted as }</math> <math>\overline{T}</math>
	::<math> \sigma=\text{scale parameter} </math>		::<math> \sigma=\text{scale parameter} </math>