Weibull distribution; Weibull parameter estimation

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  • Опубликовано: 11 сен 2024
  • The Weibull distribution is introduced, and it is explained how Excel can be used to fit the Weibull distribution to a data set by using maximum likelihood estimation. Data that is partly censored is taken into account.

Комментарии • 30

  • @kerguule
    @kerguule 3 года назад +3

    The best video I could find about this topic. Thank you very much!

    • @kerguule
      @kerguule 3 года назад

      One question though: how did you plot those graphs? With something that is not shown on the sheet? Would it be possible to get that excel file you made? Thanks!

    • @kerguule
      @kerguule 3 года назад

      Nevermind, I got the second graph when I watched your Kaplan video... Your weibull graph just looks a bit smoother than mine.

  • @lluis-ramonsalescasals9800
    @lluis-ramonsalescasals9800 2 года назад +1

    Thanks for sharing.
    This video is gold!! Congratulations.

  • @salmarachyk5647
    @salmarachyk5647 Год назад

    this is a great explanation thank you sir so much

  • @angelvictorjuancomuller809
    @angelvictorjuancomuller809 Год назад

    This is a great video, thanks!

  • @HansdeCocq
    @HansdeCocq 3 года назад

    Hoi Beam, zijn je excel-sheets, die je gebruikt hebt in je presentaties over dit onderwerp weiibull en Kaplam-Meier), ook beschikbaar ???
    Je presentaties zijn verhelderend en je presenteert "to the point in begrijpelijke taal (ook voor leken :)"", compliment!

  • @ujjwalroy8835
    @ujjwalroy8835 8 месяцев назад

    Nice explanation

  • @shashidharmuniswamy2620
    @shashidharmuniswamy2620 Год назад

    What does the likelihood of the complete dataset L (lambda, k) mean, please?

  • @arifurmollah4386
    @arifurmollah4386 Год назад

    I have a question for you, in colleges and universities, which courses talk about Weibull distribution? Which courses talk about that? Which courses? Another question is which colleges and universities talk about Weibull distribution? Which colleges and universities have that? Which colleges and universities?

  • @vijayprabhakaran453
    @vijayprabhakaran453 Год назад

    Thanks for the video but the phrase " length of the duration" is confusing, what you mean is time to failure ?

    • @bramdejonge1862
      @bramdejonge1862  Год назад

      The length of a duration is either the time to failure (event duration) or the time until preventive maintenance (censored duration).

  • @haknv647
    @haknv647 2 года назад

    thanks for the detailed description. Which column did you use at the graph?

    • @bramdejonge1862
      @bramdejonge1862  2 года назад

      The columns for the graph are hidden, I have used one column for t values (0.01, 0.02, etc), and then a column for the Kaplan Meier R (using VLOOKUP) and a column for the Weibull R.

  • @pranotipawar
    @pranotipawar 2 года назад

    Hello, excellent explanation of Weibull and Reliability Analysis. I do have a question though - at 9:12, should it be Weibull and not Weibull.Dist as we are calculating the density?

    • @bramdejonge1862
      @bramdejonge1862  2 года назад +2

      The function WEIBULL in Excel is deprecated; the function WEIBULL.DIST can be used to evaluate both the density function and the cumulative distribution function of the Weibull distribution. For the density function the argument cumulative should be set to false, for the distribution function it should be set to true.

    • @pranotipawar
      @pranotipawar 2 года назад

      @@bramdejonge1862 Thank you!

  • @saradhamanikandan4661
    @saradhamanikandan4661 2 года назад

    This is a great video. this helps me a lot especially when we don't have software's to support. I have a question on how to calculate the confidence interval for R(t). can you please help me with this.

  • @MirtunjayKumar
    @MirtunjayKumar 2 года назад +1

    Great video, to get an insight of the parameter estimation.
    I have been wonderibg how to generate the R(t) curve in excel(weibull and Kaplan-Meier). Can you please guide me or share the excel sheet used in the video..
    Thanks

    • @bramdejonge1862
      @bramdejonge1862  2 года назад +1

      I have used an additional table just for making the graph. This table consists of three columns: (i) a column with t values with small increments, (ii) a column with corresponding Kaplan-Meier R(t) values (use VLOOKUP), and (iii) a column with corresponding Weibull R(t) values.

    • @MirtunjayKumar
      @MirtunjayKumar 2 года назад

      @@bramdejonge1862 Thanks for the details.. will try if i can generate something like yours.

    • @balqistkn1192
      @balqistkn1192 Год назад

      @@bramdejonge1862 would you like to demonstrate how to make this table and the kme mle weibull graph?

  • @pmfelix
    @pmfelix Год назад

    Hi. I was not sure if the Weibull distribution can contain zeros. Thanks.

    • @bramdejonge1862
      @bramdejonge1862  Год назад

      If the time-to-failure follows a Weibull distribution it can never be exactly zero, it is always strictly positive.

  • @alaaisraa9459
    @alaaisraa9459 3 года назад

    Thank you for this video, please I have a question, how do we estimate the failure function, if I have the number of data exactly 20

    • @bramdejonge1862
      @bramdejonge1862  3 года назад +1

      Do you mean the failure rate function? The failure rate function equals the density function divided by the reliability function. For the Weibull distribution you then only have the first part of the density function left.

  • @soorajkp4089
    @soorajkp4089 8 месяцев назад

    Is it ok to use MLE for small data sets ?

    • @bramdejonge1862
      @bramdejonge1862  8 месяцев назад

      That's ok, but then it is more difficult to decide whether the fitted distribution is appropriate.

    • @soorajkp4089
      @soorajkp4089 8 месяцев назад

      ​@@bramdejonge1862thanks. How did you plot KME in the graph..

    • @bramdejonge1862
      @bramdejonge1862  8 месяцев назад

      @@soorajkp4089 For that you need to create an additional table with two columns (not shown in the video). In the first column you need to put t values with small increments (i.e. 0, 0.01, 0.02, etc). In the second column you need to show the corresponding Kaplan-Meier values.