How do I get the approximation of a falling factorial?

I found an approximation in falling factorial. It says that: (a)n-1=a(a-1)(a-2)...(a-n+2) approximate to [a-(n-2)/2]n-1. Can someone tell me how to derive the approximation?

11 December 2014 1,746 4 View

How do I construct a joint pdf for a uniformly distributed sample that is drawn without replacement?

I have a sample X1, X2,..., Xn that drawn from uniformly distributed population. The sample drawn without replacement. Since it depends each other (which is not i.i.d), the joint pdf is not the...

10 November 2014 2,315 4 View

How do I calculate the summation of p.d.f. from a discrete uniform distribution where the parameter space is infinite?

Summation of p.d.f. from any discrete distribution are always 1, where its fulfill the law of a probability. But when we have a discrete uniform distribution with infinite parameter space. Does...

09 October 2014 1,264 5 View

How do I prove that a statistic is appropriate to estimate a parameter?

08 September 2014 4,669 4 View

Why do we use Bayesian Method in Serial Numbered Population (SNP) Problem instead of Frequentist approaches?

I actually had a specific problem. The problem is SNP (Serial Numbered Population) Problem, where we only have exactly 1 sample to be used in Bayesian method. The truth is I'm not sure why do we...

08 September 2014 9,851 1 View

Can we easily use improper prior distribution as a prior in Bayesian estimation?

Improper distribution is the distribution which doesn't integrate to 1. For example, Improper Uniform Prior Distribution for all positive integers. This distribution integrate to infinity. Is it...

07 August 2014 2,848 1 View

Can anyone give me an interpretation or link about improper uniform prior as a prior distribution in Bayesian estimation?

I need a good reason why improper uniform prior could be use as a prior in Serial Numbered Population (SNP) problem. Or maybe someone can tell me about improper uniform prior itself. An pdf link...

07 August 2014 9,224 5 View

How to find the right number of integration points in second order 3d finite elements?

I am familiar with finite element simulations and numerical schemes like the Gauss Legendre quadrature. I also know that the Gauss integration yields exact values for polynomials up to degree 2n-1...

27 February 2021 6,818 3 View

Mediation path analysis - Can I run two seperate models?

I am wanting to run a serial mediation model with 2 x IVs, 2 x MVs, and 3 DPs (all continuous). Is it problematic to run 2 different models for each IV, keeping the MVs and DPs the same in each...

27 February 2021 5,681 3 View

Physical-chemical formation of stalactites/stalagmites. what promotes the formation/growth of these structures?

I know, or think I do, the basic idea behind these natural structures, as from what I know they form due to water dripping from the top leaving a salt deposit behind. But started to wonder about...

22 February 2021 1,400 4 View

Is there a suitable way to confine cell attachment area inside a multi-well plate?

Are there any types of cylindrical cell culture inserts that are designed to confine cell seeding area? Say, if I'm using a 12 well plate (3.5 cm^2/well), but only want to seed cells in the middle...

22 February 2021 7,127 4 View

How can a reference point be fixed to an attachment point in Abaqus?

I am currently trying to copy an assembly feature, that is present in an old version of the model I am using, onto a new model. The feature is a reference point that is fixed to an attachment...

16 February 2021 8,872 2 View

How can we determine the positive definiteness of multivariable polyomial? Is there any MATLAB function available for that?

Can we check the positive definiteness of a multivariable polynomial using MATLAB functions? Of course in literature, there are few complex methods that use tensor algebra. However, before going...

16 February 2021 1,218 3 View

How to determine the significance of "diagonal" contrasts in two-way ANOVA interactions on SPSS?

Hi all, I'm running a 2 x 2 between-subjects ANOVA with the setup in the attached image (kindly refer to JPG attachment). I understand that calculating simple effects involves determining...

09 February 2021 547 3 View

Infinite order of Laguerre?

If Lmn(x) is the Laguerre polynomial of order m and degree n Is there a means of computing Lmn(x) for 1) m goes to infinity 2) n goes to infinity

08 February 2021 6,320 4 View

In which group does Fine loamy, Coarse Loamy, Coarse Silty and Fine Soil falls?

I am preparing HSG map for which I need to classify the above soils into HSG group. Just want to confirm their classification i.e in which category they fall?

03 February 2021 9,902 1 View

Whether L version and D version peptidesshould have identical NMR, especially in the state of self-assembly?

Whether L version and D version peptides should have identical NMR, especially in the state of self-assembly have to have identical NMR? How to use HRMS to confirm L version or D version...

01 February 2021 6,756 4 View