Data Science Online Gambling

Source: Jeff Hammerbacher’s slide from UC Berkeley CS 194 course. In many ways, data warehouses are both the engine and the fuels that enable higher level analytics, be it business intelligence. With the prediction, I find the highest odds among 6 online betting houses. This means if I win, I get the highest profit possible. This will be the odds at which I place my bet. For each match, the amount of bet will be calculated by the Kelly criterion 2, which works based on the principle: you should invest only a fraction of your wealth.

• Data Science Online Gambling Games
• Data Science Online Gambling Course
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Welcome to Academic Press Network website!

Have you ever heard about Big Data, Data Science, Machine Learning, Artificial Intelligence, Natural Language Processing Technologies, Data or Text Mining? How do these strange and intellectual words can help players? This may definitely surprise you.

The Apnet team has deep knowledge of this science. We analyze the available data in the field of iGaming and are happy to share our outcomes with players around the globe. Every person interested in online gambling will find useful information here for sure that can be used in the future.

Mission / Project goal

is to carry out an analysis of iGaming topics in order to identify trust casinos with generous bonuses applying the updated intellectual methods of information processing covered in reputed academic press.

Tasks to solve:

• Sentiment analysis of relevant content as well as mathematical modeling of aggregated reviews;
• Simulation technique to analyze RTP indicators based on empirical academic press;
• Drawing of mathematically proven strategies for the most popular iGaming selection;
• Preparation of multi-regional iGaming guide considering cultural and regional specifics of gambling in each country.

Objects of analysis

News portals and forums, review & ratings sites on slot machines and online casinos, data of software providers, as well as academic press in the field of iGaming.

Data and research background:

numerical and textual information regularly published in academic press (scientific journals) covering gambling topics.

Our team:

The team consists of mathematicians, analysts, marketing experts with solid experience and academic background in statistical modelling, machine learning, pure mathematics and simulation of macro- and microeconomic processes. We regularly receive new knowledge both from the practical experience and study new theoretical trends from international academic press. For this project iGaming market was chosen as an object of research.

Can Academic Press Really Help Gamblers?

By means of up-to-date scientific methods and models, we will help you not only to choose the most suitable casino games for your needs and style, but also tell you how to increase winning odds based on fundamental academic knowledge. The information processing methods will help you to form an opinion about the proposed selection on the ground of mathematically accumulated feedback, which is the result of balanced aggregation of available reviews and ratings at free access.

Personal data has recently become more public, albeit anonymized. When was the last time you saw statistical summary in the news? Any information, whether it’s anthropometric data or the sum of money which he or she spends on clothes, food, academic press and entertainments is subject to storage and processing. Even people who are far from applied mathematics are facing concepts such as big data, data science, data mining, machine learning, artificial intelligence, NLP technologies. The Apnet team will help you understand these concepts, as well as teach you how to benefit from academic press.

We don’t want to fill up heads of our readers with complex terms and calculations, so this article will only reveal the most applied aspects. Just use ready-made and free solutions. Furthermore, let some information still remain confidential, perhaps we will reveal some of the secrets in coming papers.

Best Tips We Have Learned From Academic Press and Now Share

Data Science Online Gambling Games

100% honest & unbiased online casino reviews

In order to make their own opinion before testing, most people read reviews. Before going to the cinema, we watch trailers, read feedback of critics and people who have already taken in a movie. Before you buy any book or academic press in online store, you also primarily refer to the reviews as a rule.

But how can you trust them?

What is the probability that those two or three positive reviews at the top of the page are credible and not paid? Users rarely scroll through reviews feed, because it takes a lot of time, besides it’s quite time-consuming task to keep array of information in mind.

How Machine Learning helps to publish honest reviews?

Data and Text Mining in line with Natural Language Processing Technologies step in here, taking the key place among popular topics in academic press over the past five years.

You may have heard that a group of researchers analyzed tweets about the release of Star Wars movie and get real how the audience liked the movie based on reviews tone, as well as which characters caused negative emotions. Similar technologies allow the team of Apnet.com generate true online reviews on iGaming topic.

We analyze a large number of texts and keep on going over determining the overall tone of reviews. Advanced methods gained from up-to-date academic press allows us to generate a balanced review that takes into account the most important and referenced facts about casino, as well as true assessment of real players.

One-Shot Casino Review

Reading one review provided by the team of Apnet.com, you get a balanced set of all available reviews at free access, while receiving relevant and high-quality information which can assist you forming your own opinion.

Your science-based guide by country

Tips on choosing gambling places, slots or other games cannot be common for each country for the following reason – games selection and RTP indicators are based on the psychosomatic and cultural characteristics of the population in each country, risk loving or quiet game’s preference. Here is pure win – win solution for all participants. Thus, APnet team has compiled casino guides for the next countries:

Mathematical Fundamentals of Online Gambling

In order to have a realistic view of winning odds in online casinos, it’s necessary to clearly comprehend such concepts as mathematical expectation of winning, mathematical expectation of risk, as well as variance of winning and risk. It should be understood, there are not only games with positive expectation for players, but also with negative:

“If you want measured steady gaming, no losses, no winnings, just to pass the time – your choice should fall on the game with positive expectation and moderate variance,” Linda Jenkins (our math expert) said.

At the same time, understanding of variance gives you the idea how big your win or loss can be. In part, you can learn new information by familiarizing yourself with risk matrices. So you need to understand first what you want.

“If you are risky person, then we recommend to point out games with negative mathematical expectation, but large variance,” data analyst Anders Lindström commented out.

What Do We Have In Sum?

It’s dispersion variance that provides you with tickling nerves and possibility of big win. In addition, you need to understand the type of chosen game to determine the game’s strategy: with dependent or independent random variables. Games with dependent random variables require more concentration and attention, but they are also more controlled.

Safety & Right Choice of Online Casinos and Slot Machines

1. First of all, before you start playing make sure that your choice fell on certified online casino. You may trust the certificates provided by companies such as Technical Systems Testing (TST), Price Waterhouse Coopers (PWC) and eCOGRA.
2. The certificate has to provide RTP values and confirm seed values of RNG.
3. Moreover, you should not trust everything you see. For instance, certificate located on homepage may be faked, as any image is easy to falsify. If this certificate is genuine, you will be redirected to the company’s website that issued the license. If the chosen operator is certified properly, you should consider RTP in details.
4. Another good way to make sure that you are using a safe online casino is to check if it holds a license issued by a well-known government agency like the UKGC in the United Kingdom.
5. Check if the brand’s website is secure. Visit their website and have a look at the address bar. If you see the address start with Hyper Text Transfer Protocol Secure or HTTPS:// then it is all well and secure. If you see HTTP:// then it is best to avoid playing there.
6. Does the casino use a trusted software provider? Consider checking which software the brand uses. Some of the most trusted software providers are NetEnt, Playtech, and Novomatic.

Understanding RTP Calculus Will Save You From Learning Robinson-Sсhensted Algorithm (Not Us)

RTP is generally accepted parameter and the certificate contains RTP value for each game of the online casino you selected. Choosing slots game, you should study the available information about it, including RTP value, due to its frequent correlation with variance. Higher RTP value means the lower variance of winning, so player will receive small payouts on a more frequent basis.

The most common strategy of playing slots with low variance is to play for “short distances” – short time gaming at maximum rates. However, if you have sufficient margin of initial capital and patience, you should pay your attention to slots with lower RTP value.

Even though the expected return is lower due to higher variance after short series of losses, you have opportunity to get a jackpot or short series of big wins that will outweigh the cost of your waiting. These findings were obtained from the research conducted by APNet team.

First of all, having studied the academic press related to the law of large numbers [10], it was decided to:

• – make simulation modeling in order to select those casinos that follow the established parameters [11],
• – reveal if RTP coincides with established values of software providers,
• – identify the relationship between RTP values and variance of winnings.

The Monte Carlo method was chosen as simulation method, which is widely represented in authoritative academic press. At the first stage, we have considered online casinos and their slots with high RTP values and low dispersion in order to save the budget. To achieve this, sufficient number of users were registered in the framework of simulation making chaotic bets. Results on the winnings, number and size of bets were received in the simulation model for further analysis.

Mathematical features of Blackjack

Blackjack is a game with dependent random events and is one of the most controlled from player’s side. Here luck isn’t so important as correct calculations and skill of the player [5]. Moreover, this game has the greatest expectation of winning for players.

From the mathematical point of view, player should keep bust probability in mind for the current amount of points. Below we present short statistical summary based on probability determination according to the classical probabilistic space:

The presented empirical function of bust probability distribution takes place under the assumption that the game is played by one card deck.

Mathematical features of roulette

If your favorite game is roulette, you will be interested in the information below. Choosing between American or European roulette, preference should be given to European variant. Since the mathematical expectation of zero for European roulette is 1/37, which can be interpreted as casino takes 2.7% of all bets. According to the game theory, mathematical expectation of zero for American roulette is 2/38 or substantially 5.26% of all bets goes to the house.

“Despite the fact that roulette is very exciting game with millions of fans around the world, at the same time it’s pure mathematical system with 49×49 winning probability. Mixed strategies are usually applied, and if you delve into this area, you will learn a lot of new and useful information that will help you gaming in the future,”our marketing expert Paul explained.

However, considering roulette strategies it’s necessary to debunk the established myth of Martingale strategy, which was fully described in a number of articles at academic press few years ago. This strategy doesn’t work due to the limited financial and time resources of player, as well as due to the fact that most casinos have clear limits of maximum bets. Thus, adhering to pure Martingale strategy, you will put yourself into a situation where it’s impossible to win [9].

In addition, roulette is one of the few games in terms of winnings where mathematical expectation takes negative values (considering bet values), so it belongs to the game type for “short distances”. In case of “red or black” bets, variance isn’t clear cut. The method of fictitious play may be applied here. But it’s worth counting on when hunting for a win, as it compensates for negative expectation of the player.

Glossary

RTP(return to player) is an estimate of mathematical expectation of player’s win ratio related to casino. If RTP value for a particular slot is 0.95, it means that according to the law of large numbers, player will lose no more than 5% of amount deposited. However, if player has insufficient number of sessions, this ratio can vary enormously, both sides.

RNG(random number generator) – a truly random value, but iGaming online operators use PRNG – pseudo-random number generatorsas a rule. PRNG uses single initial value at the start of algorithm; and here its pseudorandomness appears, while RNG always forms a random number usually based on different sources of entropy [1,2]. In fact, RNG = PRNG + source of informational (physical, mathematical) entropy [3,4]. Currently a lot of academic press presents high-tech algorithms that can guarantee reliability, fraud protection in terms of algorithm’s hacking, such basic methods as linear congruent aren’t applied, while preference is given to methods of cryptographic encryption.

Sample space(space of elementary events) – a set consisting of all possible elementary outcomes. An elementary outcome is the result of random experiment. Let’s explain it in practice, for example – take dice. We have premise that two dice are thrown. Each dice has six faces, with values from 1 to 6. Then sample space is limited to 36 (number of all unique pairs), and elementary outcomes mean a set of unique pairs {(1,1),(1,2)…(6,5),(6,6)}.

Expected value– average of a random variable when the number of samples or the number of tests goes to infinity. Mathematical expectation is one of the basic concepts of probability theory. From casino’s point of view – expectation is approximate average value of player’s profit or winning probability. Let’s take the example with two dice again. If player makes a single bet, this implies one elementary outcome as winning, then success probability will be calculated as ratio of the number of favorable elementary outcomes to the total number of outcomes in this case. So our example shows that probability of success is 1/36, and mathematical value of win is 1/36 multiplied by amount of bet.

Dispersion (variance) of random variable– nominal measure of random variables spread to its mathematical expectation. The square root of dispersion is called standard deviation. An important mathematical calculation is that according to Chebyshev’s inequality, probability which values of random variable are disposed from its mathematical expectation by more than k standard deviations is less than . Dispersion is an objective factor, which undoubtedly must be considered, because it provides player with a big win or loss.

Independent and dependent random variables – mathematical definition of event independence sounds like: two events are independent if appearance of one event does not affect the probability of second event’s appearance. In other words, to understand whether your chosen game has dependent or independent outcomes, you need to answer the simple question: does the previous value of elementary outcome affect the current one? If the answer is yes, then you are dealing with dependent elementary outcomes in such games like blackjack, for example. In the classic version, the game is played with 8 decks of 52 cards each, but as the game progresses, probability of getting the right card changes, as the implemented space of elementary outcomes changes. Classic games with independent random variables are roulette and dice.

Empirical Distribution Function(EDF) is a function that defines probability that subsequent values will not exceed each value in the set.

Data mining– intellectual data analysis, the term was introduced in 1989 and is used to refer to a set of methods for knowledge detection necessary for decision-making in various spheres of human activity in some data previously unknown, non-trivial, practically useful and of accessible interpretation.

Having deep background in data mining, analysts group of Apnet.com gives you opportunity to obtain unique and reliable knowledge without prior familiarization with academic press, and immediately have information aimed at the result [7].

Simulation modelling– a research method where the studied system is replaced with model describing this system with sufficient accuracy, by means of which experiments are being conducted with the aim to obtain information about the system. At the same time, it is possible to repeat the experiment required number of times, while processes occurring in the model are random, which means that with a large number of computational experiment retries, researcher gets a complete picture of the changes taking place in the system and can predict to the specified accuracy how the system will behave in time, as well as extremal states and equilibrium.

Data Science Online Gambling Course

Apnet team has sufficient data base and modern technical meansthat allows us to build detailed and accurate models to provide you with up-to-date and verified information [6]. One of the most authoritative academic press devoted to simulation modeling is the International Journal of Modeling and Simulation [12].

Natural Language Processing– general trend of artificial intelligence and mathematical linguistics. It studies the problems of computer analysis and synthesis of natural languages. Appling to artificial intelligence, analysis means the language understanding, and synthesis means generating a smart text. Solution of these problems allows to create the most convenient form of interaction between computer and human, and also provides high-speed analysis of large array of available text information [8].

Artificial intelligence – from the point of view of science and technology it’s creation of intelligent machines, in particular intelligent computer programs; in terms of properties – the property of intelligent systems to perform creative functions that are traditionally considered prerogative of man, writing texts in particular.

Perhaps here we’ll stop. Undoubtedly, we could explain other terms like game matrix, Nash Equilibrium, strategy space, fuzzy sets theory, Gaussian distribution ant etc.; but we want to focus on ready-made solutions that will be worthwhile to our users. After all, this great work has been done for you!

Academic Press Network – Apnet team want to thank these books and websites that inspired us to create such a cool project – Sources:

Data Science Online Gambling Sites

1. Donald Knuth, The Art of Computer Programming (Vol. 2 – Seminumerical Algorithms).
2. Bruce Schneier, Applied Cryptography (Chapter 16).
3. William H. Press, Saul A. Teukolsky, William T. Vetterling, Brian P. Flannery. Numerical Recipes in C: The Art of Scientific Computing. – 2nd ed. – Cambridge University Press, 1992. ISBN 0–521–43108–5.
4. N.G. Bardis, A.P. Markovskyi, N. Doukas, N. V. Karadimas.True Random Number Generation Based on Environmental Noise Measurements for Military Applications// Proceedings of 8th WSEAS International Conference on Signal Processing, Robotics and Automation. – 2009. – ISBN 978-960-474-054-3. –ISSN1790-5117.
5. Mathematic academic press: https://www.elsevier.com/physical-sciences-and-engineering/mathematics/journals.
6. Eric Winsberg (2003), Simulated Experiments: Methodology for a Virtual World.
7. Ian Goodfellow Deep Learning (Adaptive Computation and Machine Learning): https://www.deeplearningbook.org.
8. http://www.mlyearning.org.
9. http://www.storytellingwithdata.com/book/.
10. https://www.sciencedirect.com/science/article/pii/S0888613X10001040.
11. https://www.sciencedirect.com/book/9780444515759/exploring-monte-carlo-methods.
12. https://www.tandfonline.com/loi/tjms20.