The authors study the issues of applying mathematical methods to the assessment of the criminogenic levels in administrative-territorial units of the Republic of Kazakhstan. They have analyzed a considerable volume of statistical information for the past 20 years and, as a result, have identified the highest and the lowest number of registered crimes. Several indices were used to develop an index of criminogenity (ranging) of regions: crime level, graveness of crimes, size of population in a certain area. They recommend to define the public danger of crimes as a numerical value expressed in abstract units - points - based on the average sanctions, an average punishment imposed by a court and an average rating assigned by experts (researchers, practical specialists). The authors have studied modern Kazakh and foreign publications on the use of mathematical methods in criminology. The results of assessment according to three methods of ranging - legislative (legal), court, and expert - are presented in the tables. There is a correlation between legislative (legal) and court assessments. Calculations were used to determine the criminal status of some territorial units, which makes it possible to compare the number of crimes and the degree of their public danger for the population in the over-16 age group. In order to analyze the administrative-territorial units of the same type, the cities have been grouped according to the size of population. The presented methodology is reflected in the spectral scale on the «Map of Criminal Infringements» of the Committee for Legal Statistics and Special Records of the Prosecutor Generals Office for the Republic of Kazakhstan; it takes into account the distribution of cities into four groups which, in the end, will make it possible to obtain a maximally objective assessment of the criminal situation and to take preventive measures.

Purpose The fight against corruption, which undermines the efficiency of the state apparatus and public confidence in public institutions, remains one of the critical present-day tasks. In this regard, the purpose of this study is to identify the available possibilities and real practice of law enforcement of the norms on investigative prevention, the practical significance of this institution and its potential. Design/methodology/approach The study investigated theoretical materials on criminological prevention, legislative norms and available law enforcement practice. Findings It was discovered that, in general, the available statutory regulation is insufficient for the full-fledged practical implementation of the potential of investigative prevention. An exception is specialised prevention, assigned as one of the main tasks to the Agency of the Republic of Kazakhstan for Combating Corruption. Proposals have been formulated to improve anti-corruption investigative prevention in other bodies of pre-trial investigation, considering the identified risks. Originality/value The uniqueness of the situation lies in the fact that the existence of the institution of investigative prevention, in fact, is limited to the post-Soviet space. The elimination of formalism in the approach to this method of crime prevention can contribute to greater efficiency in the fight against crime, including corruption.

Legal assistance is an integral part of the cooperation of states. As it helps to provide assistance in civil, family, criminal cases, which require execution of procedural actions in the territory of more than one country. Therefore, the authors considered and considered this important question. The main goal that the author has put before him is to determine the categories of pre-trial investigations. After the analysis of international documents, it was established that the number of cases on which the terms of the pre-trial investigation were interrupted (suspended) for the last 5 years is directly dependent on the number of instructions sent to foreign countries. In some criminal cases, the terms of the investigation are extended without taking into account the time necessary for the receipt of these cases to the law enforcement agencies of the requested state. It was determined that in relation to 11 citizens of the Republic of Kazakhstan, courts of foreign states were convicted (5 – deprivation of liberty, 4 – conditional punishment, 1 – fine, 1 – with amnesty).

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Kazakhstan has adopted a policy of procedural economy, which is expressed in the acceleration of the pas-sage of criminal cases at all stages of the criminal process. The introduction of many new procedural institu-tions and forms of pre-trial investigation, the updating of criminal procedure legislation actualizes the issue of investigating the procedural status of the victim. The modern domestic criminal process should provide a balance between numerous novelties and procedural rules designed to ensure compliance with the principle of competition and equality of the parties to the prosecution and defense. In accordance with this principle, "the parties involved in criminal proceedings are equal, that is, they are given equal opportunities to defend their position in accordance with the Constitution of the Republic of Kazakhstan and the CPC. The authors have studied international documents regarding the regulation of the rights of victims in criminal proceedings. The victim is one of the Central figures in the criminal process, especially if it is a crime against the person, and must have broad rights to protect their interests. In this regard, the issue of choosing a preventive measure against a suspect (accused), taking into account the opinion of the victim, is of particular importance. The authors studied the opinions of scientists and practitioners on the issue under consideration, as well as the provisions of criminal procedure legislation regulating the rights and obliga-tions of the victim, the ratio of General and special norms. As a result, the authors concluded that it is necessary to grant the victim the right to Express his opinion on the use or non-use of coercive measures against the suspect. In the course of studying this issue, the authors applied methods of comparative analysis, deduction, forecasting, and others. On the basis of the research, appropriate recommendations were developed to improve the legal regulation of the rights of the victim in criminal proceedings of the Republic of Kazakhstan.