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Standing on the shoulders of Giants. NtRand3.3 rises.

· One min read

NtRand3.3 rises. Achieving the precision of Excel 2010.

By adopting the calculation algorithm of Boost, the pioneering C++ open source library, NtRand 3.3 has greatly improved the accuracy of its distribution functions. In addition to this enhancement, NtRand 3.3 introduces seven new functions.

The precision of each distribution function in NtRand 3.3 now closely matches its corresponding Excel 2007 and 2010 function*.

For probability density function and cumulative distribution function of normal distribution---the most important distribution for every field---NtRand 3.3 can produce accurate values within the vast range of [37σ,37σ][-37\sigma, 37\sigma], which was only [8σ,8σ][-8\sigma, 8\sigma] previously.
Improved distribution functions:

  • NTBETADIST
  • NTCHIDIST
  • NTCHISQDIST
  • NTGAMMADIST
  • NTJOHNSONSUDIST
  • NTJOHNSONINV
  • NTLOGNORMDIST
  • NTLOGNORMINV
  • NTNORMDIST
  • NTNORMINV
  • NTTDIST
  • NTTRUNCNORMDIST
  • NTTRUNCNORMINV
  • NTWEIBULLDIST
  • NTWEIBULLINV

New functions:

  • NTBETAINV
  • NTCHIDISTINV
  • NTCHISQINV
  • NTFDISTINV
  • NTGAMMAINV
  • NTPOISSONDISTINV
  • NTTDISTINV

Last but not least, the most remarkable improvement is .......the removal of the irritating dialog box during start up!

  • (relative error : 1015101610^{-15}\sim 10^{-16})