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Mathematical Formulation

NOTE: If you don't post some proposal and convince me that you have the needed experience and knowledge, your bid will be ignored.

Given a variable “p” and a function “r” such that x>=r(p)<=y and an integer or r(p)=”Unknown”; x<0 (negative integer) and y>0 (positive integer). That is, function “r” either returns an integer between “x” and “y” or “Unknown”. Function “r” runs at random time intervals and the history of all values of r(p) are stored in list h(p)={(p0, t0), (p1, t1), (p2, t2),…(pn, tn)}, such that (pi, ti) is the value of r(p) at time i, and t0<t1<t2<…pn. Each time r(p) runs, the result is added to h(p) if it is known (integer).

If r(p)=Unknown, then the value of the r(p) starts increasing or decreasing gradually with time but also based on the values stored in h(p) until it becomes 0 (obviously that will happen only if r(p) always returns “Unknown” every time it is executed). That is, based on the curve represented by h(p).

I want a formal mathematical definition of the problem and a function that can compute/predict the integer value of r(p) when r(p)=”Unknown” based on (1) The length of h(p); and (2) The values stored at h(p). In other words, if we represent h(p) as a curve on the plane, and r(p)=”Unknown”, then what is the expected value of r(p) if the curve is getting closer to “0” every time r(p) is unknown?

Considerations: If the list h(p) is long (has many values) and the values are very close to “x” and/or “y”, then it will take longer to be 0. On the other hand, if h(p) has values that are close to “0” then it will take shorter to become “0”. That is, the curve should always look somewhat normal.

Please describe your approach and how you will solve this problem. Also, let me know if you have any questions.

I will provide you with more details as we communicate and exchange messages.

Compétences : Algorithme, Mathématiques, Matlab and Mathematica, Recherche Scientifique, Statistiques

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Concernant l'employeur :
( 167 commentaires ) Burlingame, United States

N° du projet : #8508726

Décerné à :

Stevewh

Maybe i can help but i have a lot of questions: 1) How do you select an integer betwen x and y ? (How works r(p)) 2) x is a negative integer and y a positive integer ? 3) So r(p) selects an integer between x Plus

155 $ USD en 3 jours
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1.4

8 freelance ont fait une offre moyenne de 149 $ pour ce travail

super2lao

A proposal has not yet been provided

147 $ USD en 3 jours
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5.0
kamranbabarnust2

I had done MS in Engineering, and had taken advanced courses in Statistics and Data Analysis. Also i had 8+ years of experience in the field of Matlab Programming and Mathematical formulation and data analysis. I can d Plus

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SharjeelSohail

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nayeem4444

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155 $ USD en 3 jours
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4.5
jhabibi

this is not so simple. if you want to predict it is even harder. this is a machine learning problem. basically if you want to feet a statistical model, you could choose a proper statistical distribution and do paramete Plus

250 $ USD en 10 jours
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4.4
hrobin

Hello! I am a PhD engineers and have strong experience with Math,i would love to work on your project, lets discus it further via chat Thanks Kind regards Robin

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3.5
rafaelnadal

hello I am Software Engineer and Expert in Problem solving so you can consider me for this Project Thanks I will wait for your Quick Response

100 $ USD en 3 jours
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3.2
codechurner

Hi, I think I can do this. There are many techniques one can use when it comes to estimating a function - extrapolation using derivatives, averaging out, curve-fitting, regression analysis, kalman filtering and so o Plus

111 $ USD en 3 jours
(4 Commentaires)
2.9