Template:Kaplan-Meier - Revision history

Lisa Hacker: Redirected page to Non-Parametric Life Data Analysis

2012-08-09T09:57:03Z

Redirected page to Non-Parametric Life Data Analysis

← Older revision		Revision as of 09:57, 9 August 2012
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	[[~~Category: For Deletion~~]]		#REDIRECT [[Non-Parametric_Life_Data_Analysis]]

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

2012-07-20T12:25:30Z

Replaced content with 'Category: For Deletion'

← Older revision		Revision as of 12:25, 20 July 2012
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	~~====Kaplan-Meier====~~		[[Category: For Deletion]]
	The Kaplan-Meier estimator (also known as the product limit estimator) is used as an alternative to the median ranks method for calculating the estimates of the unreliability for probability plotting purposes. The equation of the estimator is given by:
	~~::<math>\widehat{F}({{t}_{i}})=1-\underset{j=1}{\overset{i}{\mathop \prod }}\,\frac{{{n}_{j}}-{{r}_{j}}}{{{n}_{j}}},\text{ }i=1,...,m</math>~~
	~~where:~~
	~~<br>~~
	~~::<math>\begin{align}~~
	~~m = & {\text{total number of data points}} \\~~
	~~n = & {\text{the total number of units}} \\~~
	~~{n_i} = & n - \sum_{j = 0}^{i - 1}{s_j} - \sum_{j = 0}^{i - 1}{r_j}, \text{i = 1,...,m }\\~~
	~~{r_j} = & {\text{ number of failures in the }}{j^{th}}{\text{ data group, and}} \\~~
	~~{s_j} = & {\text{number of surviving units in the }}{j^{th}}{\text{ data group}} \\~~
	~~\end{align}~~
	~~</math>~~

Lisa Hacker at 10:47, 25 June 2012

2012-06-25T10:47:56Z

← Older revision		Revision as of 10:47, 25 June 2012
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	====Kaplan-Meier====		====Kaplan-Meier====
	The Kaplan-Meier estimator (also known as the product limit estimator) is used as an alternative to the median ranks method for calculating the estimates of the unreliability for probability plotting purposes. The equation of the estimator is given by		The Kaplan-Meier estimator (also known as the product limit estimator) is used as an alternative to the median ranks method for calculating the estimates of the unreliability for probability plotting purposes. The equation of the estimator is given by:
	::<math>\widehat{F}({{t}_{i}})=1-\underset{j=1}{\overset{i}{\mathop \prod }}\,\frac{{{n}_{j}}-{{r}_{j}}}{{{n}_{j}}},\text{ }i=1,...,m</math>		::<math>\widehat{F}({{t}_{i}})=1-\underset{j=1}{\overset{i}{\mathop \prod }}\,\frac{{{n}_{j}}-{{r}_{j}}}{{{n}_{j}}},\text{ }i=1,...,m</math>
	where:		where:

Kate Racaza: /* Kaplan-Meier */

2012-03-16T17:56:20Z

Kaplan-Meier

← Older revision		Revision as of 17:56, 16 March 2012
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	====Kaplan-Meier====		====Kaplan-Meier====
	The Kaplan-Meier estimator (also known as the product limit estimator) is used as an alternative to the median ranks method for calculating the estimates of the unreliability for probability plotting purposes. The equation of the estimator is given by,		The Kaplan-Meier estimator (also known as the product limit estimator) is used as an alternative to the median ranks method for calculating the estimates of the unreliability for probability plotting purposes. The equation of the estimator is given by
	::<math>\widehat{F}({{t}_{i}})=1-\underset{j=1}{\overset{i}{\mathop \prod }}\,\frac{{{n}_{j}}-{{r}_{j}}}{{{n}_{j}}},\text{ }i=1,...,m</math>		::<math>\widehat{F}({{t}_{i}})=1-\underset{j=1}{\overset{i}{\mathop \prod }}\,\frac{{{n}_{j}}-{{r}_{j}}}{{{n}_{j}}},\text{ }i=1,...,m</math>
	where,		where:
	<br>		<br>
	::<math>\begin{align}		::<math>\begin{align}

Harry Guo: /* Kaplan-Meier */

2012-02-04T00:04:13Z

Kaplan-Meier

← Older revision		Revision as of 00:04, 4 February 2012
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	The Kaplan-Meier estimator (also known as the product limit estimator) is used as an alternative to the median ranks method for calculating the estimates of the unreliability for probability plotting purposes. The equation of the estimator is given by,		The Kaplan-Meier estimator (also known as the product limit estimator) is used as an alternative to the median ranks method for calculating the estimates of the unreliability for probability plotting purposes. The equation of the estimator is given by,
	::<math>\widehat{F}({{t}_{i}})=1-\underset{j=1}{\overset{i}{\mathop \prod }}\,\frac{{{n}_{j}}-{{r}_{j}}}{{{n}_{j}}},\text{ }i=1,...,m</math>		::<math>\widehat{F}({{t}_{i}})=1-\underset{j=1}{\overset{i}{\mathop \prod }}\,\frac{{{n}_{j}}-{{r}_{j}}}{{{n}_{j}}},\text{ }i=1,...,m</math>
	:where,		where,
	<br>		<br>
	::<math>\begin{align}		::<math>\begin{align}

Pantelis: Created page with ' ====Kaplan-Meier==== The Kaplan-Meier estimator (also known as the product limit estimator) is used as an alternative to the median ranks method for calculating the estimates of…'

2011-10-29T12:56:51Z

Created page with ' ====Kaplan-Meier==== The Kaplan-Meier estimator (also known as the product limit estimator) is used as an alternative to the median ranks method for calculating the estimates of…'

New page

====Kaplan-Meier====
The Kaplan-Meier estimator (also known as the product limit estimator) is used as an alternative to the median ranks method for calculating the estimates of the unreliability for probability plotting purposes. The equation of the estimator is given by,
::<math>\widehat{F}({{t}_{i}})=1-\underset{j=1}{\overset{i}{\mathop \prod }}\,\frac{{{n}_{j}}-{{r}_{j}}}{{{n}_{j}}},\text{ }i=1,...,m</math>
:where,
<br>
::<math>\begin{align}
m = & {\text{total number of data points}} \\
n = & {\text{the total number of units}} \\
{n_i} = & n - \sum_{j = 0}^{i - 1}{s_j} - \sum_{j = 0}^{i - 1}{r_j}, \text{i = 1,...,m }\\
{r_j} = & {\text{ number of failures in the }}{j^{th}}{\text{ data group, and}} \\
{s_j} = & {\text{number of surviving units in the }}{j^{th}}{\text{ data group}} \\
\end{align}
</math>