Template:Lognormal distribution confidence bounds - Revision history

Richard House: Redirected page to The Lognormal Distribution#Confidence Bounds

2012-08-13T05:59:04Z

Redirected page to The Lognormal Distribution#Confidence Bounds

← Older revision		Revision as of 05:59, 13 August 2012
Line 1:		Line 1:
	~~==Confidence Bounds==~~		#REDIRECT [[The_Lognormal_Distribution#Confidence_Bounds]]
	The method used by the application in estimating the different types of confidence bounds for lognormally distributed data is presented in this section. Note that there are closed-form solutions for both the normal and lognormal reliability that can be obtained without the use of the Fisher information matrix. However, these closed-form solutions only apply to complete data. To achieve consistent application across all possible data types, Weibull++ always uses the Fisher matrix in computing confidence intervals. The complete derivations were presented in detail for a general function in Chapter [[~~Confidence Bounds~~]]~~. For a discussion on exact confidence bounds for the normal and lognormal, see Chapter [[The Normal Distribution]].~~

	~~{{Lognormal distribution fisher matrix bounds}}~~


	~~{{Lognormal distribution Likelihood ratio confidence bounds}}~~


	~~{{lognormal distribution bayesian confidence bounds}}~~

Harry Guo: /* Confidence Bounds */

2012-02-13T23:02:17Z

Confidence Bounds

← Older revision		Revision as of 23:02, 13 February 2012
Line 3:		Line 3:

	{{Lognormal distribution fisher matrix bounds}}		{{Lognormal distribution fisher matrix bounds}}


	{{Lognormal distribution Likelihood ratio confidence bounds}}		{{Lognormal distribution Likelihood ratio confidence bounds}}


	{{lognormal distribution bayesian confidence bounds}}		{{lognormal distribution bayesian confidence bounds}}

Harry Guo: /* Confidence Bounds */

2012-02-13T22:05:52Z

Confidence Bounds

← Older revision		Revision as of 22:05, 13 February 2012
Line 1:		Line 1:
	==Confidence Bounds==		==Confidence Bounds==
	The method used by the application in estimating the different types of confidence bounds for lognormally distributed data is presented in this section. Note that there are closed-form solutions for both the normal and lognormal reliability that can be obtained without the use of the Fisher information matrix. However, these closed-form solutions only apply to complete data. To achieve consistent application across all possible data types, Weibull++ always uses the Fisher matrix in computing confidence intervals. The complete derivations were presented in detail for a general function in Chapter 5. For a discussion on exact confidence bounds for the normal and lognormal, see Chapter 8.		The method used by the application in estimating the different types of confidence bounds for lognormally distributed data is presented in this section. Note that there are closed-form solutions for both the normal and lognormal reliability that can be obtained without the use of the Fisher information matrix. However, these closed-form solutions only apply to complete data. To achieve consistent application across all possible data types, Weibull++ always uses the Fisher matrix in computing confidence intervals. The complete derivations were presented in detail for a general function in Chapter [[Confidence Bounds]]. For a discussion on exact confidence bounds for the normal and lognormal, see Chapter [[The Normal Distribution]].

	{{Lognormal distribution fisher matrix bounds}}		{{Lognormal distribution fisher matrix bounds}}

Harry Guo at 18:40, 13 February 2012

2012-02-13T18:40:04Z

← Older revision		Revision as of 18:40, 13 February 2012
Line 5:		Line 5:

	{{Lognormal distribution Likelihood ratio confidence bounds}}		{{Lognormal distribution Likelihood ratio confidence bounds}}

			{{lognormal distribution bayesian confidence bounds}}

Harry Guo at 17:33, 13 February 2012

2012-02-13T17:33:25Z

← Older revision		Revision as of 17:33, 13 February 2012
Line 4:		Line 4:
	{{Lognormal distribution fisher matrix bounds}}		{{Lognormal distribution fisher matrix bounds}}

	{{~~likelihood~~ ratio confidence bounds}}		{{Lognormal distribution Likelihood ratio confidence bounds}}

Harry Guo at 17:32, 13 February 2012

2012-02-13T17:32:10Z

← Older revision		Revision as of 17:32, 13 February 2012
Line 4:		Line 4:
	{{Lognormal distribution fisher matrix bounds}}		{{Lognormal distribution fisher matrix bounds}}

	{{~~Lognormal distribution~~ likelihood ratio confidence bounds}}		{{likelihood ratio confidence bounds}}

Harry Guo at 17:29, 13 February 2012

2012-02-13T17:29:48Z

← Older revision		Revision as of 17:29, 13 February 2012
Line 4:		Line 4:
	{{Lognormal distribution fisher matrix bounds}}		{{Lognormal distribution fisher matrix bounds}}

	{{likelihood ratio confidence bounds}}		{{Lognormal distribution likelihood ratio confidence bounds}}

Harry Guo at 17:29, 13 February 2012

2012-02-13T17:29:36Z

← Older revision		Revision as of 17:29, 13 February 2012
Line 2:		Line 2:
	The method used by the application in estimating the different types of confidence bounds for lognormally distributed data is presented in this section. Note that there are closed-form solutions for both the normal and lognormal reliability that can be obtained without the use of the Fisher information matrix. However, these closed-form solutions only apply to complete data. To achieve consistent application across all possible data types, Weibull++ always uses the Fisher matrix in computing confidence intervals. The complete derivations were presented in detail for a general function in Chapter 5. For a discussion on exact confidence bounds for the normal and lognormal, see Chapter 8.		The method used by the application in estimating the different types of confidence bounds for lognormally distributed data is presented in this section. Note that there are closed-form solutions for both the normal and lognormal reliability that can be obtained without the use of the Fisher information matrix. However, these closed-form solutions only apply to complete data. To achieve consistent application across all possible data types, Weibull++ always uses the Fisher matrix in computing confidence intervals. The complete derivations were presented in detail for a general function in Chapter 5. For a discussion on exact confidence bounds for the normal and lognormal, see Chapter 8.

	{{ld fisher matrix bounds}}		{{Lognormal distribution fisher matrix bounds}}

	{{likelihood ratio confidence bounds}}		{{likelihood ratio confidence bounds}}

Harry Guo: moved Template:Ld confidence bounds to Template:Lognormal distribution confidence bounds

2012-02-10T23:18:59Z

moved Template:Ld confidence bounds to Template:Lognormal distribution confidence bounds

← Older revision	Revision as of 23:18, 10 February 2012
(No difference)

Nicolette Young: /* Likelihood Ratio Confidence Bounds */

2012-01-04T18:37:04Z

Likelihood Ratio Confidence Bounds

Show changes