Template:LoglogisticDistribution - Revision history

Lisa Hacker: Redirected page to The Loglogistic Distribution

2012-08-09T10:01:02Z

Redirected page to The Loglogistic Distribution

← Older revision		Revision as of 10:01, 9 August 2012
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	[[~~Category: For Deletion~~]]		#REDIRECT [[The_Loglogistic_Distribution]]

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

2012-07-20T12:21:27Z

Replaced content with 'Category: For Deletion'

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

	As may be summarized from the name, the loglogistic distribution is similar to the logistic distribution. Specifically, the data follows a loglogistic distribution when the natural logarithms of the times-to-failure follow a logistic distribution. Accordingly, the loglogistic and lognormal distributions also share many similarities. <br>The <span class="texhtml">''pdf''</span> of the loglogistic distribution is given by: <br>

	~~::<math> \begin{align}~~
	~~f(t)= & \frac{e^z}{\sigma{t}{(1+{e^z})^2}} \\~~
	~~z= & \frac{t'-{\mu }}{\sigma } \\~~
	~~f(t)\ge & 0, t>0, {{\sigma}}>0, \\~~
	~~{t}'= & ln(t)~~
	~~\end{align}</math>~~

	~~<br>where,~~

	~~::<math>\begin{align}~~
	~~\mu= & \text{scale parameter} \\~~
	~~\sigma=& \text{shape parameter}~~
	~~\end{align}</math>~~

	~~<br>The loglogistic distribution and its characteristics are presented in~~ [[~~The Loglogistic Distribution~~]]~~. <br>~~

Lisa Hacker: /* The Loglogistic Distribution */

2012-03-30T21:49:18Z

The Loglogistic Distribution

← Older revision		Revision as of 21:49, 30 March 2012
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	\end{align}</math>		\end{align}</math>

	<br>The loglogistic distribution and its characteristics are presented ~~in detail~~ in [[The Loglogistic Distribution]]. <br>		<br>The loglogistic distribution and its characteristics are presented in [[The Loglogistic Distribution]]. <br>

Lisa Hacker: /* The Loglogistic Distribution */

2012-03-30T21:48:37Z

The Loglogistic Distribution

← Older revision		Revision as of 21:48, 30 March 2012
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	\end{align}</math>		\end{align}</math>

	<br>The loglogistic distribution and its characteristics are presented in detail in [[The Loglogistic]]. <br>		<br>The loglogistic distribution and its characteristics are presented in detail in [[The Loglogistic Distribution]]. <br>

Lisa Hacker: /* The Loglogistic Distribution */

2012-03-30T21:33:41Z

The Loglogistic Distribution

← Older revision		Revision as of 21:33, 30 March 2012
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	\end{align}</math>		\end{align}</math>

	<br>The loglogistic distribution and its characteristics are presented in detail in ~~the chapter~~ [[The Loglogistic]]. <br>		<br>The loglogistic distribution and its characteristics are presented in detail in [[The Loglogistic]]. <br>

Kate Racaza at 16:17, 12 March 2012

2012-03-12T16:17:04Z

← Older revision		Revision as of 16:17, 12 March 2012
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	===The Loglogistic Distribution===		=== The Loglogistic Distribution ===
	As may be summarized from the name, the loglogistic distribution is similar to the logistic distribution. Specifically, the data follows a loglogistic distribution when the natural logarithms of the times-to-failure follow a logistic distribution. Accordingly, the loglogistic and lognormal distributions also share many similarities.
	<br>		As may be summarized from the name, the loglogistic distribution is similar to the logistic distribution. Specifically, the data follows a loglogistic distribution when the natural logarithms of the times-to-failure follow a logistic distribution. Accordingly, the loglogistic and lognormal distributions also share many similarities. <br>The <span class="texhtml">''pdf''</span> of the loglogistic distribution is given by: <br>
	The <~~math~~>pdf</~~math~~> of the loglogistic distribution is given by:
	<br>
	::<math> \begin{align}		::<math> \begin{align}
	f(t)= & \frac{e^z}{\sigma{t}{(1+{e^z})^2}} \\		f(t)= & \frac{e^z}{\sigma{t}{(1+{e^z})^2}} \\
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	{t}'= & ln(t)		{t}'= & ln(t)
	\end{align}</math>		\end{align}</math>
	<br>
	where,		<br>where,

	::<math>\begin{align}		::<math>\begin{align}
	\mu= & \text{scale parameter} \\		\mu= & \text{scale parameter} \\
	\sigma=& \text{shape parameter}		\sigma=& \text{shape parameter}
	\end{align}</math>		\end{align}</math>
	<br>
	The loglogistic distribution and its characteristics are presented in ~~more~~ detail in ~~Chapter~~ [[The Loglogistic]].		<br>The loglogistic distribution and its characteristics are presented in detail in the chapter [[The Loglogistic]]. <br>
	<br>

Harry Guo: /* The Loglogistic Distribution */

2012-02-10T23:59:17Z

The Loglogistic Distribution

← Older revision		Revision as of 23:59, 10 February 2012
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	\end{align}</math>		\end{align}</math>
	<br>		<br>
	The loglogistic distribution and its characteristics are presented in more detail in [[The Loglogistic ~~\| Chapter 15~~]].		The loglogistic distribution and its characteristics are presented in more detail in Chapter [[The Loglogistic]].
	<br>		<br>

Harry Guo: /* The Loglogistic Distribution */

2012-02-03T23:06:29Z

The Loglogistic Distribution

← Older revision		Revision as of 23:06, 3 February 2012
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	\end{align}</math>		\end{align}</math>
	<br>		<br>
	The loglogistic distribution and its characteristics are presented in more detail in Chapter 10.		The loglogistic distribution and its characteristics are presented in more detail in [[The Loglogistic \| Chapter 15]].
	<br>		<br>

Harry Guo: /* The Loglogistic Distribution */

2012-02-03T23:03:47Z

The Loglogistic Distribution

← Older revision		Revision as of 23:03, 3 February 2012
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	f(t)= & \frac{e^z}{\sigma{t}{(1+{e^z})^2}} \\		f(t)= & \frac{e^z}{\sigma{t}{(1+{e^z})^2}} \\
	z= & \frac{t'-{\mu }}{\sigma } \\		z= & \frac{t'-{\mu }}{\sigma } \\
	f(t)\ge & 0, \t>0, \{{\sigma}}>0, \\		f(t)\ge & 0, t>0, {{\sigma}}>0, \\
	{t}'= & ln(t)		{t}'= & ln(t)
	\end{align}</math>		\end{align}</math>
	<br>		<br>
	:where,		where,
	~~<br>~~
	::<math>\begin{align}		::<math>\begin{align}
	\mu= & \text{scale parameter} \\		\mu= & \text{scale parameter} \\

Harry Guo: /* The Loglogistic Distribution */

2012-02-03T23:02:05Z

The Loglogistic Distribution

← Older revision		Revision as of 23:02, 3 February 2012
Line 7:		Line 7:
	f(t)= & \frac{e^z}{\sigma{t}{(1+{e^z})^2}} \\		f(t)= & \frac{e^z}{\sigma{t}{(1+{e^z})^2}} \\
	z= & \frac{t'-{\mu }}{\sigma } \\		z= & \frac{t'-{\mu }}{\sigma } \\
	f(t)\ge & 0,t>0,{{\sigma}}>0, \\		f(t)\ge & 0, \t>0, \{{\sigma}}>0, \\
	{t}'= & ln(t)		{t}'= & ln(t)
	\end{align}</math>		\end{align}</math>