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• Aitchison, J., Jr. and Brown, J.A.C., <math>The</math> <math>Lognormal</math> <math>Distribution</math> , Cambridge University Press, New York, 176 pp., 1957. | • Aitchison, J., Jr. and Brown, J.A.C., <math>The</math> <math>Lognormal</math> <math>Distribution</math> , Cambridge University Press, New York, 176 pp., 1957. | ||
• Cramer, H., <math>Mathematical</math> <math>Methods</math> <math>of</math> <math>Statistics</math> , Princeton University Press, Princeton, NJ, 1946. | • Cramer, H., <math>Mathematical</math> <math>Methods</math> <math>of</math> <math>Statistics</math> , Princeton University Press, Princeton, NJ, 1946. | ||
• Cox, F. R., and Lewis, P.A. W. (1966), The Statistical Analysis of Series of Events, London: Methuen. | • Cox, F. R., and Lewis, P.A. W. (1966), The Statistical Analysis of Series of Events, London: Methuen. | ||
• Davis, D.J., ``An Analysis of Some Failure Data,'' J. Am. Stat. Assoc., Vol. 47, p. 113, 1952. | • Davis, D.J., ``An Analysis of Some Failure Data,'' J. Am. Stat. Assoc., Vol. 47, p. 113, 1952. | ||
• Dietrich, D., <math>SIE</math> <math>530</math> <math>Engineering</math> <math>Statistics</math> <math>Lecture</math> <math>Notes</math> , The University of Arizona, Tucson, Arizona. | • Dietrich, D., <math>SIE</math> <math>530</math> <math>Engineering</math> <math>Statistics</math> <math>Lecture</math> <math>Notes</math> , The University of Arizona, Tucson, Arizona. | ||
• Dudewicz, E.J., ``An Analysis of Some Failure Data,'' J. Am. Stat. Assoc., Vol. 47, p. 113, 1952. | • Dudewicz, E.J., ``An Analysis of Some Failure Data,'' J. Am. Stat. Assoc., Vol. 47, p. 113, 1952. | ||
• Dudewicz, E.J., and Mishra, Satya N., <math>Modern</math> <math>Mathematical</math> <math>Statistics</math> , John Wiley & Sons, Inc., New York, 1988. | • Dudewicz, E.J., and Mishra, Satya N., <math>Modern</math> <math>Mathematical</math> <math>Statistics</math> , John Wiley & Sons, Inc., New York, 1988. | ||
• Evans, Ralph A., ``The Lognormal Distribution is Not a Wearout Distribution,'' Reliability Group Newsletter, IEEE, Inc., 345 East 47 <math>^{th}</math> St., New York, N.Y. 10017, p. 9, Vol. XV, Issue 1, January 1970. | • Evans, Ralph A., ``The Lognormal Distribution is Not a Wearout Distribution,'' Reliability Group Newsletter, IEEE, Inc., 345 East 47 <math>^{th}</math> St., New York, N.Y. 10017, p. 9, Vol. XV, Issue 1, January 1970. | ||
• Gelman, A., Carlin, John B., Stern, Hal S., and Rubin, Donald B., Bayesian Data Analysis, Second Edition, Chapman & Hall/CRC, New York 2004 | • Gelman, A., Carlin, John B., Stern, Hal S., and Rubin, Donald B., Bayesian Data Analysis, Second Edition, Chapman & Hall/CRC, New York 2004 | ||
• Gottfried, Paul, Wear-out, Reliability Group Newsletter, IEEE, Inc., 345 East 47 <math>^{th}</math> St., New York, N.Y. 10017, p. 7, Vol. XV, Issue 3, July 1970. | • Gottfried, Paul, Wear-out, Reliability Group Newsletter, IEEE, Inc., 345 East 47 <math>^{th}</math> St., New York, N.Y. 10017, p. 7, Vol. XV, Issue 3, July 1970. | ||
• Hahn, Gerald J., and Shapiro, Samuel S., <math>Statistical</math> <math>Models</math> <math>in</math> <math>Engineer</math> - <math>ing</math> , John Wiley & Sons, Inc., New York, 355 pp., 1967. | |||
• Hahn, Gerald J., and Shapiro, Samuel S., <math>Statistical</math> | |||
<math>Models</math> <math>in</math> <math>Engineer</math> - <math>ing</math> , John Wiley & Sons, Inc., New York, 355 pp., 1967. | |||
• Hald, A., <math>Statistical</math> <math>Theory</math> <math>with</math> <math>Engineering</math> <math>Applications</math> , John Wiley & Sons, Inc., New York, 783 pp., 1952. | • Hald, A., <math>Statistical</math> <math>Theory</math> <math>with</math> <math>Engineering</math> <math>Applications</math> , John Wiley & Sons, Inc., New York, 783 pp., 1952. | ||
• Hald, A., <math>Statistical</math> <math>Tables</math> <math>and</math> <math>Formulas</math> , John Wiley & Sons, Inc., New York, 97 pp., 1952. | • Hald, A., <math>Statistical</math> <math>Tables</math> <math>and</math> <math>Formulas</math> , John Wiley & Sons, Inc., New York, 97 pp., 1952. | ||
• Hirose, Hideo, ``Maximum Likelihood Estimation in the 3-parameter Weibull Distribution - A Look through the Generalized Extreme-value Distribution,'' IEEE Transactions on Dielectrics and Electrical Insulation, Vol. 3, No. 1, pp. 43-55, February 1996. | • Hirose, Hideo, ``Maximum Likelihood Estimation in the 3-parameter Weibull Distribution - A Look through the Generalized Extreme-value Distribution,'' IEEE Transactions on Dielectrics and Electrical Insulation, Vol. 3, No. 1, pp. 43-55, February 1996. | ||
• Johnson, Leonard G., ``The Median Ranks of Sample Values in their Population With an Application to Certain Fatigue Studies,'' Industrial Mathematics, Vol. 2, 1951. | • Johnson, Leonard G., ``The Median Ranks of Sample Values in their Population With an Application to Certain Fatigue Studies,'' Industrial Mathematics, Vol. 2, 1951. | ||
• Johnson, Leonard G., <math>The</math> <math>Statistical</math> <math>Treatment</math> <math>of</math> <math>Fatigue</math> <math>Experi</math> - <math>ment</math> , Elsevier Publishing Company, New York, 144 pp., 1964. | • Johnson, Leonard G., <math>The</math> <math>Statistical</math> <math>Treatment</math> <math>of</math> <math>Fatigue</math> <math>Experi</math> - <math>ment</math> , Elsevier Publishing Company, New York, 144 pp., 1964. | ||
• Kao, J.H.K., ``A New Life Quality Measure for Electron Tubes,'' IRE Transaction on Reliability and Quality Control, PGRQC 13, pp. 15-22, July 1958. | • Kao, J.H.K., ``A New Life Quality Measure for Electron Tubes,'' IRE Transaction on Reliability and Quality Control, PGRQC 13, pp. 15-22, July 1958. | ||
• Kapur, K.C., and Lamberson, L.R., <math>Reliability</math> <math>in</math> <math>Engineering</math> <math>Design</math> , John Wiley & Sons, Inc., New York, 586 pp., 1977. | • Kapur, K.C., and Lamberson, L.R., <math>Reliability</math> <math>in</math> <math>Engineering</math> <math>Design</math> , John Wiley & Sons, Inc., New York, 586 pp., 1977. | ||
• Kececioglu, Dimitri, <math>Reliability</math> <math>Engineering</math> <math>Handbook</math> , Prentice Hall, Inc., Englewood Cliffs, New Jersey, Vol. 1, 1991. | • Kececioglu, Dimitri, <math>Reliability</math> <math>Engineering</math> <math>Handbook</math> , Prentice Hall, Inc., Englewood Cliffs, New Jersey, Vol. 1, 1991. | ||
• Kececioglu, Dimitri, <math>Reliability</math> <math>\And </math> <math>Life</math> <math>Testing</math> <math>Handbook</math> , Prentice Hall, Inc., Englewood Cliffs, New Jersey, Vol. 1 and 2, 1993 and 1994. | • Kececioglu, Dimitri, <math>Reliability</math> <math>\And </math> <math>Life</math> <math>Testing</math> <math>Handbook</math> , Prentice Hall, Inc., Englewood Cliffs, New Jersey, Vol. 1 and 2, 1993 and 1994. | ||
• Lawless, J.F., Statistical Models And Methods for Lifetime Data, John Wiley & Sons, Inc., New York, 1982. | • Lawless, J.F., Statistical Models And Methods for Lifetime Data, John Wiley & Sons, Inc., New York, 1982. | ||
• Leemis, Lawrence M., <math>Reliability-Probabilistic</math> <math>Models</math> <math>and</math> <math>Statistical</math> <math>Methods</math> , Prentice Hall, Inc., Englewood Cliffs, New Jersey, 1995. | • Leemis, Lawrence M., <math>Reliability-Probabilistic</math> <math>Models</math> <math>and</math> <math>Statistical</math> <math>Methods</math> , Prentice Hall, Inc., Englewood Cliffs, New Jersey, 1995. | ||
• Lieblein, J., and Zelen, M., Statistical Investigation of the Fatigue Life of Deep-Groove Ball Bearings, Journal of Research, National Bureau of Standards, Vol. 57, p. 273, 1956. | • Lieblein, J., and Zelen, M., Statistical Investigation of the Fatigue Life of Deep-Groove Ball Bearings, Journal of Research, National Bureau of Standards, Vol. 57, p. 273, 1956. | ||
• Lloyd, David K., and Lipow Myron, <math>Reliability</math> : <math>Management,</math> <math>Methods,</math> <math>and</math> <math>Mathematics</math> , Prentice Hall, Englewood Cliffs, New Jersey, 1962. | • Lloyd, David K., and Lipow Myron, <math>Reliability</math> : <math>Management,</math> <math>Methods,</math> <math>and</math> <math>Mathematics</math> , Prentice Hall, Englewood Cliffs, New Jersey, 1962. | ||
• Mann, Nancy R., Schafer, Ray. E., and Singpurwalla, Nozer D., <math>Methods</math> <math>for</math> <math>Statistical</math> <math>Analysis</math> <math>of</math> <math>Reliability</math> <math>and</math> <math>Life</math> <math>Data</math> , John Wiley & Sons, Inc., New York, 1974. | • Mann, Nancy R., Schafer, Ray. E., and Singpurwalla, Nozer D., <math>Methods</math> <math>for</math> <math>Statistical</math> <math>Analysis</math> <math>of</math> <math>Reliability</math> <math>and</math> <math>Life</math> <math>Data</math> , John Wiley & Sons, Inc., New York, 1974. | ||
• Martz, H. F. and Waller, R. A. Bayesian Reliability Analysis, John Wiley & Sons, Inc., New York, 1982. | • Martz, H. F. and Waller, R. A. Bayesian Reliability Analysis, John Wiley & Sons, Inc., New York, 1982. | ||
• Meeker, W.Q., and Escobar, L.A., Statistical Methods for Reliability Data, John Wiley & Sons, Inc., New York, 1998. | • Meeker, W.Q., and Escobar, L.A., Statistical Methods for Reliability Data, John Wiley & Sons, Inc., New York, 1998. | ||
• Mettas, A, and Zhao, Wenbiao, Modeling and Analysis of Repairable Systems with General Repair, 2005 Proceedings Annual Reliability and Maintainability Symposium, Alexandria, Virginia, 2005. | • Mettas, A, and Zhao, Wenbiao, Modeling and Analysis of Repairable Systems with General Repair, 2005 Proceedings Annual Reliability and Maintainability Symposium, Alexandria, Virginia, 2005. | ||
• Montgomery, Douglas C., Design and Analysis of Experiments, John Wiley & Sons, Inc., New York, 1991. | • Montgomery, Douglas C., Design and Analysis of Experiments, John Wiley & Sons, Inc., New York, 1991. | ||
• Nelson, Wayne, <math>Applied</math> <math>Life</math> <math>Data</math> <math>Analysis</math> , John Wiley & Sons, Inc., New York, 1982. | • Nelson, Wayne, <math>Applied</math> <math>Life</math> <math>Data</math> <math>Analysis</math> , John Wiley & Sons, Inc., New York, 1982. | ||
• Nelson, Wayne, Recurrent Events Data Analysis for Product Repairs, Disease Recurrences, and Other Applications, ASA-SIAM, 2003. | • Nelson, Wayne, Recurrent Events Data Analysis for Product Repairs, Disease Recurrences, and Other Applications, ASA-SIAM, 2003. | ||
• NIST/SEMATECH e-Handbook of Statistical Methods, | • NIST/SEMATECH e-Handbook of Statistical Methods, | ||
http://www.itl.nist.gov/div898/handbook/, September, 2005. | http://www.itl.nist.gov/div898/handbook/, September, 2005. | ||
• Perry, J. N., Semiconductor Burn-in and Weibull Statistics, Semiconductor Reliability, Vol. 2, Engineering Publishers, Elizabeth, N.J., pp. 8-90, 1962. | • Perry, J. N., Semiconductor Burn-in and Weibull Statistics, Semiconductor Reliability, Vol. 2, Engineering Publishers, Elizabeth, N.J., pp. 8-90, 1962. | ||
• Procassini, A. A., and Romano, A., Transistor Reliability Estimates Improve with Weibull Distribution Function, Motorola Military Products Division, Engineering Bulletin, Vol. 9, No. 2, pp. 16-18, 1961. | • Procassini, A. A., and Romano, A., Transistor Reliability Estimates Improve with Weibull Distribution Function, Motorola Military Products Division, Engineering Bulletin, Vol. 9, No. 2, pp. 16-18, 1961. | ||
• Weibull, Wallodi, A Statistical Representation of Fatigue Failure in Solids, Transactions on the Royal Institute of Technology, No. 27, Stockholm, 1949. | • Weibull, Wallodi, A Statistical Representation of Fatigue Failure in Solids, Transactions on the Royal Institute of Technology, No. 27, Stockholm, 1949. | ||
• Weibull, Wallodi, A Statistical Distribution Function of Wide Applicability, Journal of Applied Mechanics, Vol. 18, pp. 293-297, 1951. | • Weibull, Wallodi, A Statistical Distribution Function of Wide Applicability, Journal of Applied Mechanics, Vol. 18, pp. 293-297, 1951. | ||
• Wingo, Dallas R., Solution of the Three-Parameter Weibull Equations by Constrained Modified Quasilinearization (Progressively Censored Samples), IEEE Transactions on Reliability, Vol. R-22, No. 2, pp. 96-100, June 1973. | • Wingo, Dallas R., Solution of the Three-Parameter Weibull Equations by Constrained Modified Quasilinearization (Progressively Censored Samples), IEEE Transactions on Reliability, Vol. R-22, No. 2, pp. 96-100, June 1973. | ||
Revision as of 20:57, 9 May 2011
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References • Aitchison, J., Jr. and Brown, J.A.C., [math]\displaystyle{ The }[/math] [math]\displaystyle{ Lognormal }[/math] [math]\displaystyle{ Distribution }[/math] , Cambridge University Press, New York, 176 pp., 1957.
• Cramer, H., [math]\displaystyle{ Mathematical }[/math] [math]\displaystyle{ Methods }[/math] [math]\displaystyle{ of }[/math] [math]\displaystyle{ Statistics }[/math] , Princeton University Press, Princeton, NJ, 1946.
• Cox, F. R., and Lewis, P.A. W. (1966), The Statistical Analysis of Series of Events, London: Methuen.
• Davis, D.J., ``An Analysis of Some Failure Data, J. Am. Stat. Assoc., Vol. 47, p. 113, 1952.
• Dietrich, D., [math]\displaystyle{ SIE }[/math] [math]\displaystyle{ 530 }[/math] [math]\displaystyle{ Engineering }[/math] [math]\displaystyle{ Statistics }[/math] [math]\displaystyle{ Lecture }[/math] [math]\displaystyle{ Notes }[/math] , The University of Arizona, Tucson, Arizona.
• Dudewicz, E.J., ``An Analysis of Some Failure Data, J. Am. Stat. Assoc., Vol. 47, p. 113, 1952.
• Dudewicz, E.J., and Mishra, Satya N., [math]\displaystyle{ Modern }[/math] [math]\displaystyle{ Mathematical }[/math] [math]\displaystyle{ Statistics }[/math] , John Wiley & Sons, Inc., New York, 1988.
• Evans, Ralph A., ``The Lognormal Distribution is Not a Wearout Distribution, Reliability Group Newsletter, IEEE, Inc., 345 East 47 [math]\displaystyle{ ^{th} }[/math] St., New York, N.Y. 10017, p. 9, Vol. XV, Issue 1, January 1970.
• Gelman, A., Carlin, John B., Stern, Hal S., and Rubin, Donald B., Bayesian Data Analysis, Second Edition, Chapman & Hall/CRC, New York 2004
• Gottfried, Paul, Wear-out, Reliability Group Newsletter, IEEE, Inc., 345 East 47 [math]\displaystyle{ ^{th} }[/math] St., New York, N.Y. 10017, p. 7, Vol. XV, Issue 3, July 1970.
• Hahn, Gerald J., and Shapiro, Samuel S., [math]\displaystyle{ Statistical }[/math] [math]\displaystyle{ Models }[/math] [math]\displaystyle{ in }[/math] [math]\displaystyle{ Engineer }[/math] - [math]\displaystyle{ ing }[/math] , John Wiley & Sons, Inc., New York, 355 pp., 1967.
• Hald, A., [math]\displaystyle{ Statistical }[/math] [math]\displaystyle{ Theory }[/math] [math]\displaystyle{ with }[/math] [math]\displaystyle{ Engineering }[/math] [math]\displaystyle{ Applications }[/math] , John Wiley & Sons, Inc., New York, 783 pp., 1952.
• Hald, A., [math]\displaystyle{ Statistical }[/math] [math]\displaystyle{ Tables }[/math] [math]\displaystyle{ and }[/math] [math]\displaystyle{ Formulas }[/math] , John Wiley & Sons, Inc., New York, 97 pp., 1952.
• Hirose, Hideo, ``Maximum Likelihood Estimation in the 3-parameter Weibull Distribution - A Look through the Generalized Extreme-value Distribution, IEEE Transactions on Dielectrics and Electrical Insulation, Vol. 3, No. 1, pp. 43-55, February 1996.
• Johnson, Leonard G., ``The Median Ranks of Sample Values in their Population With an Application to Certain Fatigue Studies, Industrial Mathematics, Vol. 2, 1951.
• Johnson, Leonard G., [math]\displaystyle{ The }[/math] [math]\displaystyle{ Statistical }[/math] [math]\displaystyle{ Treatment }[/math] [math]\displaystyle{ of }[/math] [math]\displaystyle{ Fatigue }[/math] [math]\displaystyle{ Experi }[/math] - [math]\displaystyle{ ment }[/math] , Elsevier Publishing Company, New York, 144 pp., 1964.
• Kao, J.H.K., ``A New Life Quality Measure for Electron Tubes, IRE Transaction on Reliability and Quality Control, PGRQC 13, pp. 15-22, July 1958.
• Kapur, K.C., and Lamberson, L.R., [math]\displaystyle{ Reliability }[/math] [math]\displaystyle{ in }[/math] [math]\displaystyle{ Engineering }[/math] [math]\displaystyle{ Design }[/math] , John Wiley & Sons, Inc., New York, 586 pp., 1977.
• Kececioglu, Dimitri, [math]\displaystyle{ Reliability }[/math] [math]\displaystyle{ Engineering }[/math] [math]\displaystyle{ Handbook }[/math] , Prentice Hall, Inc., Englewood Cliffs, New Jersey, Vol. 1, 1991.
• Kececioglu, Dimitri, [math]\displaystyle{ Reliability }[/math] [math]\displaystyle{ \And }[/math] [math]\displaystyle{ Life }[/math] [math]\displaystyle{ Testing }[/math] [math]\displaystyle{ Handbook }[/math] , Prentice Hall, Inc., Englewood Cliffs, New Jersey, Vol. 1 and 2, 1993 and 1994.
• Lawless, J.F., Statistical Models And Methods for Lifetime Data, John Wiley & Sons, Inc., New York, 1982.
• Leemis, Lawrence M., [math]\displaystyle{ Reliability-Probabilistic }[/math] [math]\displaystyle{ Models }[/math] [math]\displaystyle{ and }[/math] [math]\displaystyle{ Statistical }[/math] [math]\displaystyle{ Methods }[/math] , Prentice Hall, Inc., Englewood Cliffs, New Jersey, 1995.
• Lieblein, J., and Zelen, M., Statistical Investigation of the Fatigue Life of Deep-Groove Ball Bearings, Journal of Research, National Bureau of Standards, Vol. 57, p. 273, 1956.
• Lloyd, David K., and Lipow Myron, [math]\displaystyle{ Reliability }[/math] : [math]\displaystyle{ Management, }[/math] [math]\displaystyle{ Methods, }[/math] [math]\displaystyle{ and }[/math] [math]\displaystyle{ Mathematics }[/math] , Prentice Hall, Englewood Cliffs, New Jersey, 1962.
• Mann, Nancy R., Schafer, Ray. E., and Singpurwalla, Nozer D., [math]\displaystyle{ Methods }[/math] [math]\displaystyle{ for }[/math] [math]\displaystyle{ Statistical }[/math] [math]\displaystyle{ Analysis }[/math] [math]\displaystyle{ of }[/math] [math]\displaystyle{ Reliability }[/math] [math]\displaystyle{ and }[/math] [math]\displaystyle{ Life }[/math] [math]\displaystyle{ Data }[/math] , John Wiley & Sons, Inc., New York, 1974.
• Martz, H. F. and Waller, R. A. Bayesian Reliability Analysis, John Wiley & Sons, Inc., New York, 1982.
• Meeker, W.Q., and Escobar, L.A., Statistical Methods for Reliability Data, John Wiley & Sons, Inc., New York, 1998.
• Mettas, A, and Zhao, Wenbiao, Modeling and Analysis of Repairable Systems with General Repair, 2005 Proceedings Annual Reliability and Maintainability Symposium, Alexandria, Virginia, 2005.
• Montgomery, Douglas C., Design and Analysis of Experiments, John Wiley & Sons, Inc., New York, 1991.
• Nelson, Wayne, [math]\displaystyle{ Applied }[/math] [math]\displaystyle{ Life }[/math] [math]\displaystyle{ Data }[/math] [math]\displaystyle{ Analysis }[/math] , John Wiley & Sons, Inc., New York, 1982.
• Nelson, Wayne, Recurrent Events Data Analysis for Product Repairs, Disease Recurrences, and Other Applications, ASA-SIAM, 2003.
• NIST/SEMATECH e-Handbook of Statistical Methods, http://www.itl.nist.gov/div898/handbook/, September, 2005.
• Perry, J. N., Semiconductor Burn-in and Weibull Statistics, Semiconductor Reliability, Vol. 2, Engineering Publishers, Elizabeth, N.J., pp. 8-90, 1962.
• Procassini, A. A., and Romano, A., Transistor Reliability Estimates Improve with Weibull Distribution Function, Motorola Military Products Division, Engineering Bulletin, Vol. 9, No. 2, pp. 16-18, 1961.
• Weibull, Wallodi, A Statistical Representation of Fatigue Failure in Solids, Transactions on the Royal Institute of Technology, No. 27, Stockholm, 1949.
• Weibull, Wallodi, A Statistical Distribution Function of Wide Applicability, Journal of Applied Mechanics, Vol. 18, pp. 293-297, 1951.
• Wingo, Dallas R., Solution of the Three-Parameter Weibull Equations by Constrained Modified Quasilinearization (Progressively Censored Samples), IEEE Transactions on Reliability, Vol. R-22, No. 2, pp. 96-100, June 1973.