tag:blogger.com,1999:blog-22713811.post3752651000722826013..comments2016-03-12T08:52:28.363+01:00Comments on Pappus' plane - cricket stats: On the batting h-indexDavid Barryhttp://www.blogger.com/profile/08378763233797445502noreply@blogger.comBlogger6125tag:blogger.com,1999:blog-22713811.post-84368744121956662052014-05-04T15:24:04.531+02:002014-05-04T15:24:04.531+02:00WOW what a amazing cricket post, i like that i was...WOW what a amazing cricket post, i like that i was looking this type of high scores complete table.<br />Nice BlogNews or Crickethttp://9cric.com/category/cricket-articles/noreply@blogger.comtag:blogger.com,1999:blog-22713811.post-848779937710054292014-03-05T13:18:19.059+01:002014-03-05T13:18:19.059+01:00Great comment Bernard; you've just left it on ...Great comment Bernard; you've just left it on the wrong post! I've copied it and replied over here: http://pappubahry.blogspot.com.au/2014/03/highest-scores.htmlDavid Barryhttps://www.blogger.com/profile/08378763233797445502noreply@blogger.comtag:blogger.com,1999:blog-22713811.post-91961040093634667092014-03-05T12:02:25.330+01:002014-03-05T12:02:25.330+01:00I think a more elegant way to look at this is to c...I think a more elegant way to look at this is to consider extreme value theory. The maximum of a set of N exponential random variables can be shown to approach a Gumbel distribution for N large. The expected value of that distribution is similarly given, for N large, by (G + Ln(N))/A where A is the average of the distribution and G is Euler’s constant (about 0.58). This gives a relationship between the expected maximum and the average of the individual distribution which doesn’t rely on your arbitrary factor of ½. Note that your expression for the maximum is approximately ((ln 2+ Ln(N))/Afor large N. Since ln(2)= 0.69 this is close to the expression above so perhaps there is a deeper result here that I haven’t noticed.<br />All this obviously begs the question of whether there is a correlation between the max/mean ratio and the number of innings that these formulation suggest, but that is the subject of another post.<br />bernard kachoyannoreply@blogger.comtag:blogger.com,1999:blog-22713811.post-90726989189254655402012-04-01T05:43:45.525+02:002012-04-01T05:43:45.525+02:00Hi Chirag. My (out-of-date) database is here:
ht...Hi Chirag. My (out-of-date) database is here:<br /><br />https://sites.google.com/site/cricketdatabase/<br /><br />I don't know how easy it is to use, but if you've got some basic programming ability you'll be able to work it out (I can offer help by email if necessary: dw dot barry at gmail dot come).<br /><br />Alternatively, Russ has an SQL database here:<br /><br />http://idlesummers.com/post.php?postid=1519David Barryhttps://www.blogger.com/profile/08378763233797445502noreply@blogger.comtag:blogger.com,1999:blog-22713811.post-1965052013142300812012-04-01T05:35:32.214+02:002012-04-01T05:35:32.214+02:00Looking for some detailed batting stats. Would app...Looking for some detailed batting stats. Would appreciate it, if you could let me know where I can get raw data.<br /><br />madgeek@hotmail.comChiraghttps://www.blogger.com/profile/12461803036396567235noreply@blogger.comtag:blogger.com,1999:blog-22713811.post-6772647537850352912012-03-31T04:52:40.522+02:002012-03-31T04:52:40.522+02:00Thats interesting David... thanks for putting the ...Thats interesting David... thanks for putting the H2/inns through a test.<br /><br />Conceptually, H^2/INNS depends on H^2 being roughly a straight line. The reason I was intuitively fairly sure this would be the case is because it becomes progressively harder to improve the H score, not only because the H score is higher after 150 innings than it is after 70 (given similar batting average), and it is harder to score 60 in a Test than it is to score 35, but also because you would have to replace a number of scores in order to improve your H score.<br /><br />For example, to get from 76 to 77, a batsman will have to replace all 76's with 77, such that he has 77 scores of at least 77.<br /><br />On the point that only a few of the total innings are considered, I guess that they are considered in the normalization.Kartikeya Datehttps://www.blogger.com/profile/03512491310629949028noreply@blogger.com