The engaging orchestration of a successful event invariably demands an astute eye for detail, particularly where it pertains to the auditory experience. Among the indispensable figures in this symphony of logistics is the sound engineer. The sound engineer, in essence, is the maestro of aural ambiance, expertly intertwining the threads of sound into a tapestry that complements and enhances the overall experience of your event.

The process of hiring the right sound engineer can be likened to the acquisition of a Stradivarius; it requires a discerning eye, an understanding of the craft, and above all, an appreciation for the variances in quality and style.

Step one in this quest entails understanding the role of a sound engineer and their relevance to your event. A sound engineer is responsible for the operation, maintenance and arrangement of sound systems, embodying the roles of both technician and artist. From the subtle adjustment of frequencies to the dynamic balancing of sound, the engineer is tasked with the manipulation of lenticular sonic capabilities to achieve the desired ambiance. Their relevance to your event? They are the shepherds of the auditory experience, guiding it towards the intended vision.

Different types of events necessitate different categories of sound engineers. For a live band performance, a live sound engineer is essential. This individual specializes in amplifying and balancing the sounds produced on stage to ensure optimal auditory output. On the other hand, a system engineer is ideal for a conference, taking charge of the design, setup and operation of the PA system to facilitate clear communication. Understanding these distinctions is paramount in identifying the type of sound engineer your event requires.

The selection process, much like the Heisenberg Uncertainty Principle, requires a delicate balance between precision and unpredictability. Experiences, credentials and portfolios offer quantifiable measures of an engineer's skill. However, the intangible elements such as passion, creativity, and adaptability also bear weight.

When evaluating potential engineers, consider the following factors: technical knowledge, experience, equipment acuity, and interpersonal skills. An astute sound engineer comprehends the complex dynamics of sound and the various techniques to manipulate it. Their experience is a testament to their ability to handle a variety of situations, while their understanding of equipment ensures the best use of available sound technology.

Interpersonal skills are equally important. A sound engineer is a collaborative role, requiring the individual to work harmoniously with other event personnel in effectuating the event vision.

Regarding remuneration, the law of supply and demand may come into play. The rarer the skill set of the engineer, the higher the cost. However, the Nash Equilibrium can be applied to balance the demand for quality with the available budget. The idea is to find a mutually beneficial agreement where the quality of service is commensurate with the remuneration.

The best time to hire a sound engineer, much like the optimal moment to execute a statistical regression analysis, is when all variables are known. This encompasses factors such as event type, venue, expected audience size, and available budget.

In conclusion, the task of hiring the right sound engineer for your event is an intricate confluence of understanding the role and relevance of a sound engineer, identifying the kind of engineer your event needs, evaluating potential hires based on both quantitative and qualitative factors, and striking the right balance between quality and cost. It is a symphony of decision-making that, when orchestrated correctly, results in an event that resonates with its attendees long after its conclusion.